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Finding the Fourth Proportional to 206.45, 284.90 and 113.20

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Solution

The fourth proportional to 206.45, 284.90 and 113.20 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.45 : 284.90 = 113.20 : x
  2. Step 2: Convert to fraction form
    206.45/284.90 = 113.20/x
  3. Step 3: Cross multiply
    206.45x = 284.90 × 113.20
  4. Step 4: Simplify right side
    206.45x = 32,249.89
  5. Step 5: Solve for x
    x = 32,249.89/206.45
  6. Step 6: Final answer
    x = 156.21

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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.