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Finding the Fourth Proportional to 140.71, 209.91 and 130.89

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Solution

The fourth proportional to 140.71, 209.91 and 130.89 is: 195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.71 : 209.91 = 130.89 : x
  2. Step 2: Convert to fraction form
    140.71/209.91 = 130.89/x
  3. Step 3: Cross multiply
    140.71x = 209.91 × 130.89
  4. Step 4: Simplify right side
    140.71x = 27,475.12
  5. Step 5: Solve for x
    x = 27,475.12/140.71
  6. Step 6: Final answer
    x = 195.26

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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.