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Finding the Fourth Proportional to 140.58, 209.61 and 130.32

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Solution

The fourth proportional to 140.58, 209.61 and 130.32 is: 194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 209.61 = 130.32 : x
  2. Step 2: Convert to fraction form
    140.58/209.61 = 130.32/x
  3. Step 3: Cross multiply
    140.58x = 209.61 × 130.32
  4. Step 4: Simplify right side
    140.58x = 27,316.38
  5. Step 5: Solve for x
    x = 27,316.38/140.58
  6. Step 6: Final answer
    x = 194.31

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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.