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Finding the Fourth Proportional to 285.57, 394.17 and 180.66

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Solution

The fourth proportional to 285.57, 394.17 and 180.66 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.57 : 394.17 = 180.66 : x
  2. Step 2: Convert to fraction form
    285.57/394.17 = 180.66/x
  3. Step 3: Cross multiply
    285.57x = 394.17 × 180.66
  4. Step 4: Simplify right side
    285.57x = 71,210.75
  5. Step 5: Solve for x
    x = 71,210.75/285.57
  6. Step 6: Final answer
    x = 249.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.