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Finding the Fourth Proportional to 177.24, 267.41 and 176.80

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Solution

The fourth proportional to 177.24, 267.41 and 176.80 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 267.41 = 176.80 : x
  2. Step 2: Convert to fraction form
    177.24/267.41 = 176.80/x
  3. Step 3: Cross multiply
    177.24x = 267.41 × 176.80
  4. Step 4: Simplify right side
    177.24x = 47,278.09
  5. Step 5: Solve for x
    x = 47,278.09/177.24
  6. Step 6: Final answer
    x = 266.75

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