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Finding the Fourth Proportional to 524.50, 786.76 and 159.24

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Solution

The fourth proportional to 524.50, 786.76 and 159.24 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 786.76 = 159.24 : x
  2. Step 2: Convert to fraction form
    524.50/786.76 = 159.24/x
  3. Step 3: Cross multiply
    524.50x = 786.76 × 159.24
  4. Step 4: Simplify right side
    524.50x = 125,283.66
  5. Step 5: Solve for x
    x = 125,283.66/524.50
  6. Step 6: Final answer
    x = 238.86

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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.