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Finding the Fourth Proportional to 142.12, 211.67 and 139.12

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Solution

The fourth proportional to 142.12, 211.67 and 139.12 is: 207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.12 : 211.67 = 139.12 : x
  2. Step 2: Convert to fraction form
    142.12/211.67 = 139.12/x
  3. Step 3: Cross multiply
    142.12x = 211.67 × 139.12
  4. Step 4: Simplify right side
    142.12x = 29,447.53
  5. Step 5: Solve for x
    x = 29,447.53/142.12
  6. Step 6: Final answer
    x = 207.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.