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Finding the Fourth Proportional to 206.81, 285.37 and 113.55

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Solution

The fourth proportional to 206.81, 285.37 and 113.55 is: 156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.81 : 285.37 = 113.55 : x
  2. Step 2: Convert to fraction form
    206.81/285.37 = 113.55/x
  3. Step 3: Cross multiply
    206.81x = 285.37 × 113.55
  4. Step 4: Simplify right side
    206.81x = 32,403.76
  5. Step 5: Solve for x
    x = 32,403.76/206.81
  6. Step 6: Final answer
    x = 156.68

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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.