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Finding the Fourth Proportional to 282.39, 423.63 and 138

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Solution

The fourth proportional to 282.39, 423.63 and 138 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 423.63 = 138 : x
  2. Step 2: Convert to fraction form
    282.39/423.63 = 138/x
  3. Step 3: Cross multiply
    282.39x = 423.63 × 138
  4. Step 4: Simplify right side
    282.39x = 58,460.94
  5. Step 5: Solve for x
    x = 58,460.94/282.39
  6. Step 6: Final answer
    x = 207.02

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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.