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Finding the Fourth Proportional to 266.10, 398.92 and 142.42

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Solution

The fourth proportional to 266.10, 398.92 and 142.42 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 398.92 = 142.42 : x
  2. Step 2: Convert to fraction form
    266.10/398.92 = 142.42/x
  3. Step 3: Cross multiply
    266.10x = 398.92 × 142.42
  4. Step 4: Simplify right side
    266.10x = 56,813.47
  5. Step 5: Solve for x
    x = 56,813.47/266.10
  6. Step 6: Final answer
    x = 213.51

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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.