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Finding the Fourth Proportional to 151.44, 208.78 and 96.15

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Solution

The fourth proportional to 151.44, 208.78 and 96.15 is: 132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.44 : 208.78 = 96.15 : x
  2. Step 2: Convert to fraction form
    151.44/208.78 = 96.15/x
  3. Step 3: Cross multiply
    151.44x = 208.78 × 96.15
  4. Step 4: Simplify right side
    151.44x = 20,074.20
  5. Step 5: Solve for x
    x = 20,074.20/151.44
  6. Step 6: Final answer
    x = 132.56

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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.