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Finding the Fourth Proportional to 151.74, 209.16 and 140.04

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Solution

The fourth proportional to 151.74, 209.16 and 140.04 is: 193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 209.16 = 140.04 : x
  2. Step 2: Convert to fraction form
    151.74/209.16 = 140.04/x
  3. Step 3: Cross multiply
    151.74x = 209.16 × 140.04
  4. Step 4: Simplify right side
    151.74x = 29,290.77
  5. Step 5: Solve for x
    x = 29,290.77/151.74
  6. Step 6: Final answer
    x = 193.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.