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Finding the Fourth Proportional to 178.31, 268.71 and 178.31

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Solution

The fourth proportional to 178.31, 268.71 and 178.31 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 268.71 = 178.31 : x
  2. Step 2: Convert to fraction form
    178.31/268.71 = 178.31/x
  3. Step 3: Cross multiply
    178.31x = 268.71 × 178.31
  4. Step 4: Simplify right side
    178.31x = 47,912.79
  5. Step 5: Solve for x
    x = 47,912.79/178.31
  6. Step 6: Final answer
    x = 268.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.