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Finding the Fourth Proportional to 206.26, 284.54 and 132.54

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Solution

The fourth proportional to 206.26, 284.54 and 132.54 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 284.54 = 132.54 : x
  2. Step 2: Convert to fraction form
    206.26/284.54 = 132.54/x
  3. Step 3: Cross multiply
    206.26x = 284.54 × 132.54
  4. Step 4: Simplify right side
    206.26x = 37,712.93
  5. Step 5: Solve for x
    x = 37,712.93/206.26
  6. Step 6: Final answer
    x = 182.84

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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.