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Finding the Fourth Proportional to 140.54, 209.69 and 139.32

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Solution

The fourth proportional to 140.54, 209.69 and 139.32 is: 207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.54 : 209.69 = 139.32 : x
  2. Step 2: Convert to fraction form
    140.54/209.69 = 139.32/x
  3. Step 3: Cross multiply
    140.54x = 209.69 × 139.32
  4. Step 4: Simplify right side
    140.54x = 29,213.84
  5. Step 5: Solve for x
    x = 29,213.84/140.54
  6. Step 6: Final answer
    x = 207.88

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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.