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Finding the Fourth Proportional to 485.38, 728.10 and 160.78

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Solution

The fourth proportional to 485.38, 728.10 and 160.78 is: 241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.38 : 728.10 = 160.78 : x
  2. Step 2: Convert to fraction form
    485.38/728.10 = 160.78/x
  3. Step 3: Cross multiply
    485.38x = 728.10 × 160.78
  4. Step 4: Simplify right side
    485.38x = 117,063.92
  5. Step 5: Solve for x
    x = 117,063.92/485.38
  6. Step 6: Final answer
    x = 241.18

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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.