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Finding the Fourth Proportional to 140.33, 209.59 and 125.07

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Solution

The fourth proportional to 140.33, 209.59 and 125.07 is: 186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.33 : 209.59 = 125.07 : x
  2. Step 2: Convert to fraction form
    140.33/209.59 = 125.07/x
  3. Step 3: Cross multiply
    140.33x = 209.59 × 125.07
  4. Step 4: Simplify right side
    140.33x = 26,212.91
  5. Step 5: Solve for x
    x = 26,212.91/140.33
  6. Step 6: Final answer
    x = 186.79

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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.