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Finding the Fourth Proportional to 206.90, 285.52 and 113.66

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Solution

The fourth proportional to 206.90, 285.52 and 113.66 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 285.52 = 113.66 : x
  2. Step 2: Convert to fraction form
    206.90/285.52 = 113.66/x
  3. Step 3: Cross multiply
    206.90x = 285.52 × 113.66
  4. Step 4: Simplify right side
    206.90x = 32,452.20
  5. Step 5: Solve for x
    x = 32,452.20/206.90
  6. Step 6: Final answer
    x = 156.85

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