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Finding the Fourth Proportional to 493.92, 741.01 and 147.26

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Solution

The fourth proportional to 493.92, 741.01 and 147.26 is: 220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 741.01 = 147.26 : x
  2. Step 2: Convert to fraction form
    493.92/741.01 = 147.26/x
  3. Step 3: Cross multiply
    493.92x = 741.01 × 147.26
  4. Step 4: Simplify right side
    493.92x = 109,116.69
  5. Step 5: Solve for x
    x = 109,116.69/493.92
  6. Step 6: Final answer
    x = 220.92

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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.