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Finding the Fourth Proportional to 282.30, 423.19 and 135.97

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Solution

The fourth proportional to 282.30, 423.19 and 135.97 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 423.19 = 135.97 : x
  2. Step 2: Convert to fraction form
    282.30/423.19 = 135.97/x
  3. Step 3: Cross multiply
    282.30x = 423.19 × 135.97
  4. Step 4: Simplify right side
    282.30x = 57,540.26
  5. Step 5: Solve for x
    x = 57,540.26/282.30
  6. Step 6: Final answer
    x = 203.83

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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.