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Finding the Fourth Proportional to 206.15, 284.62 and 158.80

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Solution

The fourth proportional to 206.15, 284.62 and 158.80 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 284.62 = 158.80 : x
  2. Step 2: Convert to fraction form
    206.15/284.62 = 158.80/x
  3. Step 3: Cross multiply
    206.15x = 284.62 × 158.80
  4. Step 4: Simplify right side
    206.15x = 45,198.63
  5. Step 5: Solve for x
    x = 45,198.63/206.15
  6. Step 6: Final answer
    x = 219.25

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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.