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Finding the Fourth Proportional to 206.63, 308.12 and 177.92

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Solution

The fourth proportional to 206.63, 308.12 and 177.92 is: 265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.63 : 308.12 = 177.92 : x
  2. Step 2: Convert to fraction form
    206.63/308.12 = 177.92/x
  3. Step 3: Cross multiply
    206.63x = 308.12 × 177.92
  4. Step 4: Simplify right side
    206.63x = 54,820.55
  5. Step 5: Solve for x
    x = 54,820.55/206.63
  6. Step 6: Final answer
    x = 265.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.