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Finding the Fourth Proportional to 177.68, 267 and 167.12

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Solution

The fourth proportional to 177.68, 267 and 167.12 is: 251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 267 = 167.12 : x
  2. Step 2: Convert to fraction form
    177.68/267 = 167.12/x
  3. Step 3: Cross multiply
    177.68x = 267 × 167.12
  4. Step 4: Simplify right side
    177.68x = 44,621.04
  5. Step 5: Solve for x
    x = 44,621.04/177.68
  6. Step 6: Final answer
    x = 251.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.