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Finding the Fourth Proportional to 282.27, 423.09 and 135.99

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Solution

The fourth proportional to 282.27, 423.09 and 135.99 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.27 : 423.09 = 135.99 : x
  2. Step 2: Convert to fraction form
    282.27/423.09 = 135.99/x
  3. Step 3: Cross multiply
    282.27x = 423.09 × 135.99
  4. Step 4: Simplify right side
    282.27x = 57,536.01
  5. Step 5: Solve for x
    x = 57,536.01/282.27
  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.