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Finding the Fourth Proportional to 330.12, 495.20 and 99.02

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Solution

The fourth proportional to 330.12, 495.20 and 99.02 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.12 : 495.20 = 99.02 : x
  2. Step 2: Convert to fraction form
    330.12/495.20 = 99.02/x
  3. Step 3: Cross multiply
    330.12x = 495.20 × 99.02
  4. Step 4: Simplify right side
    330.12x = 49,034.70
  5. Step 5: Solve for x
    x = 49,034.70/330.12
  6. Step 6: Final answer
    x = 148.54

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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.