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Finding the Fourth Proportional to 151.52, 227.01 and 110.39

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Solution

The fourth proportional to 151.52, 227.01 and 110.39 is: 165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 227.01 = 110.39 : x
  2. Step 2: Convert to fraction form
    151.52/227.01 = 110.39/x
  3. Step 3: Cross multiply
    151.52x = 227.01 × 110.39
  4. Step 4: Simplify right side
    151.52x = 25,059.63
  5. Step 5: Solve for x
    x = 25,059.63/151.52
  6. Step 6: Final answer
    x = 165.39

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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.