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Finding the Fourth Proportional to 205.20, 283.12 and 158.49

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Solution

The fourth proportional to 205.20, 283.12 and 158.49 is: 218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 283.12 = 158.49 : x
  2. Step 2: Convert to fraction form
    205.20/283.12 = 158.49/x
  3. Step 3: Cross multiply
    205.20x = 283.12 × 158.49
  4. Step 4: Simplify right side
    205.20x = 44,871.29
  5. Step 5: Solve for x
    x = 44,871.29/205.20
  6. Step 6: Final answer
    x = 218.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.