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Finding the Fourth Proportional to 282.39, 423.72 and 138.09

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Solution

The fourth proportional to 282.39, 423.72 and 138.09 is: 207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 423.72 = 138.09 : x
  2. Step 2: Convert to fraction form
    282.39/423.72 = 138.09/x
  3. Step 3: Cross multiply
    282.39x = 423.72 × 138.09
  4. Step 4: Simplify right side
    282.39x = 58,511.49
  5. Step 5: Solve for x
    x = 58,511.49/282.39
  6. Step 6: Final answer
    x = 207.20

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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.