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Finding the Fourth Proportional to 151.92, 226.47 and 147.99

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Solution

The fourth proportional to 151.92, 226.47 and 147.99 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 226.47 = 147.99 : x
  2. Step 2: Convert to fraction form
    151.92/226.47 = 147.99/x
  3. Step 3: Cross multiply
    151.92x = 226.47 × 147.99
  4. Step 4: Simplify right side
    151.92x = 33,515.30
  5. Step 5: Solve for x
    x = 33,515.30/151.92
  6. Step 6: Final answer
    x = 220.61

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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.