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Finding the Fourth Proportional to 247.65, 370.38 and 220.42

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Solution

The fourth proportional to 247.65, 370.38 and 220.42 is: 329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.65 : 370.38 = 220.42 : x
  2. Step 2: Convert to fraction form
    247.65/370.38 = 220.42/x
  3. Step 3: Cross multiply
    247.65x = 370.38 × 220.42
  4. Step 4: Simplify right side
    247.65x = 81,641.49
  5. Step 5: Solve for x
    x = 81,641.49/247.65
  6. Step 6: Final answer
    x = 329.66

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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.