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Finding the Fourth Proportional to 494.58, 741.87 and 147.92

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Solution

The fourth proportional to 494.58, 741.87 and 147.92 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.58 : 741.87 = 147.92 : x
  2. Step 2: Convert to fraction form
    494.58/741.87 = 147.92/x
  3. Step 3: Cross multiply
    494.58x = 741.87 × 147.92
  4. Step 4: Simplify right side
    494.58x = 109,737.41
  5. Step 5: Solve for x
    x = 109,737.41/494.58
  6. Step 6: Final answer
    x = 221.88

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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.