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Finding the Fourth Proportional to 177.54, 267.56 and 160.44

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Solution

The fourth proportional to 177.54, 267.56 and 160.44 is: 241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.54 : 267.56 = 160.44 : x
  2. Step 2: Convert to fraction form
    177.54/267.56 = 160.44/x
  3. Step 3: Cross multiply
    177.54x = 267.56 × 160.44
  4. Step 4: Simplify right side
    177.54x = 42,927.33
  5. Step 5: Solve for x
    x = 42,927.33/177.54
  6. Step 6: Final answer
    x = 241.79

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Why These Related Problems?

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