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Finding the Fourth Proportional to 493.97, 740.96 and 147.30

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Solution

The fourth proportional to 493.97, 740.96 and 147.30 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.97 : 740.96 = 147.30 : x
  2. Step 2: Convert to fraction form
    493.97/740.96 = 147.30/x
  3. Step 3: Cross multiply
    493.97x = 740.96 × 147.30
  4. Step 4: Simplify right side
    493.97x = 109,145.44
  5. Step 5: Solve for x
    x = 109,145.44/493.97
  6. Step 6: Final answer
    x = 220.96

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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.