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Finding the Fourth Proportional to 329.32, 493.62 and 146.66

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Solution

The fourth proportional to 329.32, 493.62 and 146.66 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.32 : 493.62 = 146.66 : x
  2. Step 2: Convert to fraction form
    329.32/493.62 = 146.66/x
  3. Step 3: Cross multiply
    329.32x = 493.62 × 146.66
  4. Step 4: Simplify right side
    329.32x = 72,394.31
  5. Step 5: Solve for x
    x = 72,394.31/329.32
  6. Step 6: Final answer
    x = 219.83

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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.