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Finding the Fourth Proportional to 486.89, 730.20 and 178.73

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Solution

The fourth proportional to 486.89, 730.20 and 178.73 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 730.20 = 178.73 : x
  2. Step 2: Convert to fraction form
    486.89/730.20 = 178.73/x
  3. Step 3: Cross multiply
    486.89x = 730.20 × 178.73
  4. Step 4: Simplify right side
    486.89x = 130,508.65
  5. Step 5: Solve for x
    x = 130,508.65/486.89
  6. Step 6: Final answer
    x = 268.05

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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.