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Finding the Fourth Proportional to 280.89, 387.62 and 162.85

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Solution

The fourth proportional to 280.89, 387.62 and 162.85 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.89 : 387.62 = 162.85 : x
  2. Step 2: Convert to fraction form
    280.89/387.62 = 162.85/x
  3. Step 3: Cross multiply
    280.89x = 387.62 × 162.85
  4. Step 4: Simplify right side
    280.89x = 63,123.10
  5. Step 5: Solve for x
    x = 63,123.10/280.89
  6. Step 6: Final answer
    x = 224.73

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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.