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Finding the Fourth Proportional to 486.11, 728.69 and 177.73

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Solution

The fourth proportional to 486.11, 728.69 and 177.73 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 728.69 = 177.73 : x
  2. Step 2: Convert to fraction form
    486.11/728.69 = 177.73/x
  3. Step 3: Cross multiply
    486.11x = 728.69 × 177.73
  4. Step 4: Simplify right side
    486.11x = 129,510.07
  5. Step 5: Solve for x
    x = 129,510.07/486.11
  6. Step 6: Final answer
    x = 266.42

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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.