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Finding the Fourth Proportional to 151.69, 227.63 and 150.46

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Solution

The fourth proportional to 151.69, 227.63 and 150.46 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 227.63 = 150.46 : x
  2. Step 2: Convert to fraction form
    151.69/227.63 = 150.46/x
  3. Step 3: Cross multiply
    151.69x = 227.63 × 150.46
  4. Step 4: Simplify right side
    151.69x = 34,248.17
  5. Step 5: Solve for x
    x = 34,248.17/151.69
  6. Step 6: Final answer
    x = 225.78

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