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Finding the Fourth Proportional to 151.38, 208.78 and 102.18

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Solution

The fourth proportional to 151.38, 208.78 and 102.18 is: 140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 208.78 = 102.18 : x
  2. Step 2: Convert to fraction form
    151.38/208.78 = 102.18/x
  3. Step 3: Cross multiply
    151.38x = 208.78 × 102.18
  4. Step 4: Simplify right side
    151.38x = 21,333.14
  5. Step 5: Solve for x
    x = 21,333.14/151.38
  6. Step 6: Final answer
    x = 140.92

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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.