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Finding the Fourth Proportional to 282.70, 423.84 and 138.52

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Solution

The fourth proportional to 282.70, 423.84 and 138.52 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 423.84 = 138.52 : x
  2. Step 2: Convert to fraction form
    282.70/423.84 = 138.52/x
  3. Step 3: Cross multiply
    282.70x = 423.84 × 138.52
  4. Step 4: Simplify right side
    282.70x = 58,708.20
  5. Step 5: Solve for x
    x = 58,708.20/282.70
  6. Step 6: Final answer
    x = 207.67

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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.