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Finding the Fourth Proportional to 330.09, 495.01 and 147.61

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Solution

The fourth proportional to 330.09, 495.01 and 147.61 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.09 : 495.01 = 147.61 : x
  2. Step 2: Convert to fraction form
    330.09/495.01 = 147.61/x
  3. Step 3: Cross multiply
    330.09x = 495.01 × 147.61
  4. Step 4: Simplify right side
    330.09x = 73,068.43
  5. Step 5: Solve for x
    x = 73,068.43/330.09
  6. Step 6: Final answer
    x = 221.36

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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.