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Finding the Fourth Proportional to 206.42, 284.84 and 113.15

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Solution

The fourth proportional to 206.42, 284.84 and 113.15 is: 156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 284.84 = 113.15 : x
  2. Step 2: Convert to fraction form
    206.42/284.84 = 113.15/x
  3. Step 3: Cross multiply
    206.42x = 284.84 × 113.15
  4. Step 4: Simplify right side
    206.42x = 32,229.79
  5. Step 5: Solve for x
    x = 32,229.79/206.42
  6. Step 6: Final answer
    x = 156.14

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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.