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Finding the Fourth Proportional to 282.58, 423.97 and 167.15

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Solution

The fourth proportional to 282.58, 423.97 and 167.15 is: 250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.58 : 423.97 = 167.15 : x
  2. Step 2: Convert to fraction form
    282.58/423.97 = 167.15/x
  3. Step 3: Cross multiply
    282.58x = 423.97 × 167.15
  4. Step 4: Simplify right side
    282.58x = 70,867.23
  5. Step 5: Solve for x
    x = 70,867.23/282.58
  6. Step 6: Final answer
    x = 250.79

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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.