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Finding the Fourth Proportional to 151.39, 226.92 and 96.46

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Solution

The fourth proportional to 151.39, 226.92 and 96.46 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.39 : 226.92 = 96.46 : x
  2. Step 2: Convert to fraction form
    151.39/226.92 = 96.46/x
  3. Step 3: Cross multiply
    151.39x = 226.92 × 96.46
  4. Step 4: Simplify right side
    151.39x = 21,888.70
  5. Step 5: Solve for x
    x = 21,888.70/151.39
  6. Step 6: Final answer
    x = 144.58

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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.