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Finding the Fourth Proportional to 266.31, 399.38 and 112.23

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Solution

The fourth proportional to 266.31, 399.38 and 112.23 is: 168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.31 : 399.38 = 112.23 : x
  2. Step 2: Convert to fraction form
    266.31/399.38 = 112.23/x
  3. Step 3: Cross multiply
    266.31x = 399.38 × 112.23
  4. Step 4: Simplify right side
    266.31x = 44,821.86
  5. Step 5: Solve for x
    x = 44,821.86/266.31
  6. Step 6: Final answer
    x = 168.31

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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.