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Finding the Fourth Proportional to 330.30, 495.45 and 147.71

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Solution

The fourth proportional to 330.30, 495.45 and 147.71 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.30 : 495.45 = 147.71 : x
  2. Step 2: Convert to fraction form
    330.30/495.45 = 147.71/x
  3. Step 3: Cross multiply
    330.30x = 495.45 × 147.71
  4. Step 4: Simplify right side
    330.30x = 73,184.16
  5. Step 5: Solve for x
    x = 73,184.16/330.30
  6. Step 6: Final answer
    x = 221.57

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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.