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Finding the Fourth Proportional to 151.81, 209.50 and 82.81

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Solution

The fourth proportional to 151.81, 209.50 and 82.81 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.81 : 209.50 = 82.81 : x
  2. Step 2: Convert to fraction form
    151.81/209.50 = 82.81/x
  3. Step 3: Cross multiply
    151.81x = 209.50 × 82.81
  4. Step 4: Simplify right side
    151.81x = 17,348.70
  5. Step 5: Solve for x
    x = 17,348.70/151.81
  6. Step 6: Final answer
    x = 114.28

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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.