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Finding the Fourth Proportional to 330.17, 495.10 and 147.57

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Solution

The fourth proportional to 330.17, 495.10 and 147.57 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.17 : 495.10 = 147.57 : x
  2. Step 2: Convert to fraction form
    330.17/495.10 = 147.57/x
  3. Step 3: Cross multiply
    330.17x = 495.10 × 147.57
  4. Step 4: Simplify right side
    330.17x = 73,059.80
  5. Step 5: Solve for x
    x = 73,059.80/330.17
  6. Step 6: Final answer
    x = 221.28

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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.