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Finding the Fourth Proportional to 151.39, 225.77 and 131.95

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Solution

The fourth proportional to 151.39, 225.77 and 131.95 is: 196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.39 : 225.77 = 131.95 : x
  2. Step 2: Convert to fraction form
    151.39/225.77 = 131.95/x
  3. Step 3: Cross multiply
    151.39x = 225.77 × 131.95
  4. Step 4: Simplify right side
    151.39x = 29,790.35
  5. Step 5: Solve for x
    x = 29,790.35/151.39
  6. Step 6: Final answer
    x = 196.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.