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Finding the Fourth Proportional to 282.97, 424.05 and 120.75

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Solution

The fourth proportional to 282.97, 424.05 and 120.75 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.97 : 424.05 = 120.75 : x
  2. Step 2: Convert to fraction form
    282.97/424.05 = 120.75/x
  3. Step 3: Cross multiply
    282.97x = 424.05 × 120.75
  4. Step 4: Simplify right side
    282.97x = 51,204.04
  5. Step 5: Solve for x
    x = 51,204.04/282.97
  6. Step 6: Final answer
    x = 180.95

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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.