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Finding the Fourth Proportional to 206.36, 284.64 and 132.78

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Solution

The fourth proportional to 206.36, 284.64 and 132.78 is: 183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.36 : 284.64 = 132.78 : x
  2. Step 2: Convert to fraction form
    206.36/284.64 = 132.78/x
  3. Step 3: Cross multiply
    206.36x = 284.64 × 132.78
  4. Step 4: Simplify right side
    206.36x = 37,794.50
  5. Step 5: Solve for x
    x = 37,794.50/206.36
  6. Step 6: Final answer
    x = 183.15

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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.