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Finding the Fourth Proportional to 206.25, 308.90 and 178.46

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Solution

The fourth proportional to 206.25, 308.90 and 178.46 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.25 : 308.90 = 178.46 : x
  2. Step 2: Convert to fraction form
    206.25/308.90 = 178.46/x
  3. Step 3: Cross multiply
    206.25x = 308.90 × 178.46
  4. Step 4: Simplify right side
    206.25x = 55,126.29
  5. Step 5: Solve for x
    x = 55,126.29/206.25
  6. Step 6: Final answer
    x = 267.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.