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Finding the Fourth Proportional to 206.20, 284.44 and 132.40

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Solution

The fourth proportional to 206.20, 284.44 and 132.40 is: 182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 284.44 = 132.40 : x
  2. Step 2: Convert to fraction form
    206.20/284.44 = 132.40/x
  3. Step 3: Cross multiply
    206.20x = 284.44 × 132.40
  4. Step 4: Simplify right side
    206.20x = 37,659.86
  5. Step 5: Solve for x
    x = 37,659.86/206.20
  6. Step 6: Final answer
    x = 182.64

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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.