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Finding the Fourth Proportional to 142.74, 214.27 and 142.11

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Solution

The fourth proportional to 142.74, 214.27 and 142.11 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 214.27 = 142.11 : x
  2. Step 2: Convert to fraction form
    142.74/214.27 = 142.11/x
  3. Step 3: Cross multiply
    142.74x = 214.27 × 142.11
  4. Step 4: Simplify right side
    142.74x = 30,449.91
  5. Step 5: Solve for x
    x = 30,449.91/142.74
  6. Step 6: Final answer
    x = 213.32

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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.