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Finding the Fourth Proportional to 206.32, 309.96 and 178.48

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Solution

The fourth proportional to 206.32, 309.96 and 178.48 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 309.96 = 178.48 : x
  2. Step 2: Convert to fraction form
    206.32/309.96 = 178.48/x
  3. Step 3: Cross multiply
    206.32x = 309.96 × 178.48
  4. Step 4: Simplify right side
    206.32x = 55,321.66
  5. Step 5: Solve for x
    x = 55,321.66/206.32
  6. Step 6: Final answer
    x = 268.14

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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.