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Finding the Fourth Proportional to 524.23, 786.35 and 159.03

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Solution

The fourth proportional to 524.23, 786.35 and 159.03 is: 238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.23 : 786.35 = 159.03 : x
  2. Step 2: Convert to fraction form
    524.23/786.35 = 159.03/x
  3. Step 3: Cross multiply
    524.23x = 786.35 × 159.03
  4. Step 4: Simplify right side
    524.23x = 125,053.24
  5. Step 5: Solve for x
    x = 125,053.24/524.23
  6. Step 6: Final answer
    x = 238.55

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.