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Finding the Fourth Proportional to 329.31, 493.95 and 146.71

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Solution

The fourth proportional to 329.31, 493.95 and 146.71 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.31 : 493.95 = 146.71 : x
  2. Step 2: Convert to fraction form
    329.31/493.95 = 146.71/x
  3. Step 3: Cross multiply
    329.31x = 493.95 × 146.71
  4. Step 4: Simplify right side
    329.31x = 72,464.97
  5. Step 5: Solve for x
    x = 72,464.97/329.31
  6. Step 6: Final answer
    x = 220.05

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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.