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Finding the Fourth Proportional to 205.52, 283.71 and 158.78

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Solution

The fourth proportional to 205.52, 283.71 and 158.78 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.52 : 283.71 = 158.78 : x
  2. Step 2: Convert to fraction form
    205.52/283.71 = 158.78/x
  3. Step 3: Cross multiply
    205.52x = 283.71 × 158.78
  4. Step 4: Simplify right side
    205.52x = 45,047.47
  5. Step 5: Solve for x
    x = 45,047.47/205.52
  6. Step 6: Final answer
    x = 219.19

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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.