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Finding the Fourth Proportional to 329.76, 494.78 and 147.22

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Solution

The fourth proportional to 329.76, 494.78 and 147.22 is: 220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 494.78 = 147.22 : x
  2. Step 2: Convert to fraction form
    329.76/494.78 = 147.22/x
  3. Step 3: Cross multiply
    329.76x = 494.78 × 147.22
  4. Step 4: Simplify right side
    329.76x = 72,839.54
  5. Step 5: Solve for x
    x = 72,839.54/329.76
  6. Step 6: Final answer
    x = 220.89

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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.