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Finding the Fourth Proportional to 282.20, 423.01 and 135.86

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Solution

The fourth proportional to 282.20, 423.01 and 135.86 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.20 : 423.01 = 135.86 : x
  2. Step 2: Convert to fraction form
    282.20/423.01 = 135.86/x
  3. Step 3: Cross multiply
    282.20x = 423.01 × 135.86
  4. Step 4: Simplify right side
    282.20x = 57,470.52
  5. Step 5: Solve for x
    x = 57,470.52/282.20
  6. Step 6: Final answer
    x = 203.65

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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.