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Finding the Fourth Proportional to 206.06, 284.16 and 159.35

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Solution

The fourth proportional to 206.06, 284.16 and 159.35 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 284.16 = 159.35 : x
  2. Step 2: Convert to fraction form
    206.06/284.16 = 159.35/x
  3. Step 3: Cross multiply
    206.06x = 284.16 × 159.35
  4. Step 4: Simplify right side
    206.06x = 45,280.90
  5. Step 5: Solve for x
    x = 45,280.90/206.06
  6. Step 6: Final answer
    x = 219.75

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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.