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Finding the Fourth Proportional to 151.87, 227.49 and 146.44

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Solution

The fourth proportional to 151.87, 227.49 and 146.44 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.87 : 227.49 = 146.44 : x
  2. Step 2: Convert to fraction form
    151.87/227.49 = 146.44/x
  3. Step 3: Cross multiply
    151.87x = 227.49 × 146.44
  4. Step 4: Simplify right side
    151.87x = 33,313.64
  5. Step 5: Solve for x
    x = 33,313.64/151.87
  6. Step 6: Final answer
    x = 219.36

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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.