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Finding the Fourth Proportional to 330.02, 494.97 and 147.38

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Solution

The fourth proportional to 330.02, 494.97 and 147.38 is: 221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.02 : 494.97 = 147.38 : x
  2. Step 2: Convert to fraction form
    330.02/494.97 = 147.38/x
  3. Step 3: Cross multiply
    330.02x = 494.97 × 147.38
  4. Step 4: Simplify right side
    330.02x = 72,948.68
  5. Step 5: Solve for x
    x = 72,948.68/330.02
  6. Step 6: Final answer
    x = 221.04

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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.