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Finding the Fourth Proportional to 524.15, 786.34 and 158.97

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Solution

The fourth proportional to 524.15, 786.34 and 158.97 is: 238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 786.34 = 158.97 : x
  2. Step 2: Convert to fraction form
    524.15/786.34 = 158.97/x
  3. Step 3: Cross multiply
    524.15x = 786.34 × 158.97
  4. Step 4: Simplify right side
    524.15x = 125,002.70
  5. Step 5: Solve for x
    x = 125,002.70/524.15
  6. Step 6: Final answer
    x = 238.49

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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.