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Finding the Fourth Proportional to 205.38, 283.56 and 158.66

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Solution

The fourth proportional to 205.38, 283.56 and 158.66 is: 219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 283.56 = 158.66 : x
  2. Step 2: Convert to fraction form
    205.38/283.56 = 158.66/x
  3. Step 3: Cross multiply
    205.38x = 283.56 × 158.66
  4. Step 4: Simplify right side
    205.38x = 44,989.63
  5. Step 5: Solve for x
    x = 44,989.63/205.38
  6. Step 6: Final answer
    x = 219.06

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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.