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Finding the Fourth Proportional to 266.71, 399.85 and 112.54

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Solution

The fourth proportional to 266.71, 399.85 and 112.54 is: 168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.71 : 399.85 = 112.54 : x
  2. Step 2: Convert to fraction form
    266.71/399.85 = 112.54/x
  3. Step 3: Cross multiply
    266.71x = 399.85 × 112.54
  4. Step 4: Simplify right side
    266.71x = 44,999.12
  5. Step 5: Solve for x
    x = 44,999.12/266.71
  6. Step 6: Final answer
    x = 168.72

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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.