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Finding the Fourth Proportional to 140.16, 209.19 and 130.11

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Solution

The fourth proportional to 140.16, 209.19 and 130.11 is: 194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 209.19 = 130.11 : x
  2. Step 2: Convert to fraction form
    140.16/209.19 = 130.11/x
  3. Step 3: Cross multiply
    140.16x = 209.19 × 130.11
  4. Step 4: Simplify right side
    140.16x = 27,217.71
  5. Step 5: Solve for x
    x = 27,217.71/140.16
  6. Step 6: Final answer
    x = 194.19

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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.