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Finding the Fourth Proportional to 151.17, 227.06 and 132.95

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Solution

The fourth proportional to 151.17, 227.06 and 132.95 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.17 : 227.06 = 132.95 : x
  2. Step 2: Convert to fraction form
    151.17/227.06 = 132.95/x
  3. Step 3: Cross multiply
    151.17x = 227.06 × 132.95
  4. Step 4: Simplify right side
    151.17x = 30,185.83
  5. Step 5: Solve for x
    x = 30,185.83/151.17
  6. Step 6: Final answer
    x = 199.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.