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Finding the Fourth Proportional to 285.15, 426.78 and 163.38

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Solution

The fourth proportional to 285.15, 426.78 and 163.38 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 426.78 = 163.38 : x
  2. Step 2: Convert to fraction form
    285.15/426.78 = 163.38/x
  3. Step 3: Cross multiply
    285.15x = 426.78 × 163.38
  4. Step 4: Simplify right side
    285.15x = 69,727.32
  5. Step 5: Solve for x
    x = 69,727.32/285.15
  6. Step 6: Final answer
    x = 244.53

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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.