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Finding the Fourth Proportional to 282.91, 424.27 and 120.49

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Solution

The fourth proportional to 282.91, 424.27 and 120.49 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.91 : 424.27 = 120.49 : x
  2. Step 2: Convert to fraction form
    282.91/424.27 = 120.49/x
  3. Step 3: Cross multiply
    282.91x = 424.27 × 120.49
  4. Step 4: Simplify right side
    282.91x = 51,120.29
  5. Step 5: Solve for x
    x = 51,120.29/282.91
  6. Step 6: Final answer
    x = 180.69

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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.