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Finding the Fourth Proportional to 151.35, 208.78 and 98.89

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Solution

The fourth proportional to 151.35, 208.78 and 98.89 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.35 : 208.78 = 98.89 : x
  2. Step 2: Convert to fraction form
    151.35/208.78 = 98.89/x
  3. Step 3: Cross multiply
    151.35x = 208.78 × 98.89
  4. Step 4: Simplify right side
    151.35x = 20,646.25
  5. Step 5: Solve for x
    x = 20,646.25/151.35
  6. Step 6: Final answer
    x = 136.41

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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.