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Finding the Fourth Proportional to 282.57, 423.37 and 179.44

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Solution

The fourth proportional to 282.57, 423.37 and 179.44 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.57 : 423.37 = 179.44 : x
  2. Step 2: Convert to fraction form
    282.57/423.37 = 179.44/x
  3. Step 3: Cross multiply
    282.57x = 423.37 × 179.44
  4. Step 4: Simplify right side
    282.57x = 75,969.51
  5. Step 5: Solve for x
    x = 75,969.51/282.57
  6. Step 6: Final answer
    x = 268.85

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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.