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Finding the Fourth Proportional to 178.66, 267.76 and 176.73

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Solution

The fourth proportional to 178.66, 267.76 and 176.73 is: 264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 267.76 = 176.73 : x
  2. Step 2: Convert to fraction form
    178.66/267.76 = 176.73/x
  3. Step 3: Cross multiply
    178.66x = 267.76 × 176.73
  4. Step 4: Simplify right side
    178.66x = 47,320.44
  5. Step 5: Solve for x
    x = 47,320.44/178.66
  6. Step 6: Final answer
    x = 264.86

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