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Finding the Fourth Proportional to 330.49, 496.01 and 147.86

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Solution

The fourth proportional to 330.49, 496.01 and 147.86 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.49 : 496.01 = 147.86 : x
  2. Step 2: Convert to fraction form
    330.49/496.01 = 147.86/x
  3. Step 3: Cross multiply
    330.49x = 496.01 × 147.86
  4. Step 4: Simplify right side
    330.49x = 73,340.04
  5. Step 5: Solve for x
    x = 73,340.04/330.49
  6. Step 6: Final answer
    x = 221.91

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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.