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Finding the Fourth Proportional to 330.22, 495.32 and 99.13

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Solution

The fourth proportional to 330.22, 495.32 and 99.13 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.22 : 495.32 = 99.13 : x
  2. Step 2: Convert to fraction form
    330.22/495.32 = 99.13/x
  3. Step 3: Cross multiply
    330.22x = 495.32 × 99.13
  4. Step 4: Simplify right side
    330.22x = 49,101.07
  5. Step 5: Solve for x
    x = 49,101.07/330.22
  6. Step 6: Final answer
    x = 148.69

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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.