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Finding the Fourth Proportional to 178.89, 268.89 and 177.85

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Solution

The fourth proportional to 178.89, 268.89 and 177.85 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.89 : 268.89 = 177.85 : x
  2. Step 2: Convert to fraction form
    178.89/268.89 = 177.85/x
  3. Step 3: Cross multiply
    178.89x = 268.89 × 177.85
  4. Step 4: Simplify right side
    178.89x = 47,822.09
  5. Step 5: Solve for x
    x = 47,822.09/178.89
  6. Step 6: Final answer
    x = 267.33

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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.