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Finding the Fourth Proportional to 329.15, 493.85 and 146.53

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Solution

The fourth proportional to 329.15, 493.85 and 146.53 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.15 : 493.85 = 146.53 : x
  2. Step 2: Convert to fraction form
    329.15/493.85 = 146.53/x
  3. Step 3: Cross multiply
    329.15x = 493.85 × 146.53
  4. Step 4: Simplify right side
    329.15x = 72,363.11
  5. Step 5: Solve for x
    x = 72,363.11/329.15
  6. Step 6: Final answer
    x = 219.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.