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Finding the Fourth Proportional to 177.56, 267.52 and 160.46

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Solution

The fourth proportional to 177.56, 267.52 and 160.46 is: 241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 267.52 = 160.46 : x
  2. Step 2: Convert to fraction form
    177.56/267.52 = 160.46/x
  3. Step 3: Cross multiply
    177.56x = 267.52 × 160.46
  4. Step 4: Simplify right side
    177.56x = 42,926.26
  5. Step 5: Solve for x
    x = 42,926.26/177.56
  6. Step 6: Final answer
    x = 241.76

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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.