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Finding the Fourth Proportional to 282, 422.76 and 144.96

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Solution

The fourth proportional to 282, 422.76 and 144.96 is: 217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 422.76 = 144.96 : x
  2. Step 2: Convert to fraction form
    282/422.76 = 144.96/x
  3. Step 3: Cross multiply
    282x = 422.76 × 144.96
  4. Step 4: Simplify right side
    282x = 61,283.29
  5. Step 5: Solve for x
    x = 61,283.29/282
  6. Step 6: Final answer
    x = 217.32

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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.