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Finding the Fourth Proportional to 177.19, 267.05 and 167.27

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Solution

The fourth proportional to 177.19, 267.05 and 167.27 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 267.05 = 167.27 : x
  2. Step 2: Convert to fraction form
    177.19/267.05 = 167.27/x
  3. Step 3: Cross multiply
    177.19x = 267.05 × 167.27
  4. Step 4: Simplify right side
    177.19x = 44,668.54
  5. Step 5: Solve for x
    x = 44,668.54/177.19
  6. Step 6: Final answer
    x = 252.10

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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.