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Finding the Fourth Proportional to 177.92, 267.28 and 170.63

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Solution

The fourth proportional to 177.92, 267.28 and 170.63 is: 256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.92 : 267.28 = 170.63 : x
  2. Step 2: Convert to fraction form
    177.92/267.28 = 170.63/x
  3. Step 3: Cross multiply
    177.92x = 267.28 × 170.63
  4. Step 4: Simplify right side
    177.92x = 45,604.22
  5. Step 5: Solve for x
    x = 45,604.22/177.92
  6. Step 6: Final answer
    x = 256.33

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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.