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Finding the Fourth Proportional to 282.59, 424.02 and 167.27

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Solution

The fourth proportional to 282.59, 424.02 and 167.27 is: 250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 424.02 = 167.27 : x
  2. Step 2: Convert to fraction form
    282.59/424.02 = 167.27/x
  3. Step 3: Cross multiply
    282.59x = 424.02 × 167.27
  4. Step 4: Simplify right side
    282.59x = 70,923.71
  5. Step 5: Solve for x
    x = 70,923.71/282.59
  6. Step 6: Final answer
    x = 250.97

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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.