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Finding the Fourth Proportional to 282.75, 424.05 and 179.88

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Solution

The fourth proportional to 282.75, 424.05 and 179.88 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 424.05 = 179.88 : x
  2. Step 2: Convert to fraction form
    282.75/424.05 = 179.88/x
  3. Step 3: Cross multiply
    282.75x = 424.05 × 179.88
  4. Step 4: Simplify right side
    282.75x = 76,278.11
  5. Step 5: Solve for x
    x = 76,278.11/282.75
  6. Step 6: Final answer
    x = 269.77

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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.