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Finding the Fourth Proportional to 329.18, 493.67 and 146.74

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Solution

The fourth proportional to 329.18, 493.67 and 146.74 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.18 : 493.67 = 146.74 : x
  2. Step 2: Convert to fraction form
    329.18/493.67 = 146.74/x
  3. Step 3: Cross multiply
    329.18x = 493.67 × 146.74
  4. Step 4: Simplify right side
    329.18x = 72,437.93
  5. Step 5: Solve for x
    x = 72,437.93/329.18
  6. Step 6: Final answer
    x = 220.06

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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.