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Finding the Fourth Proportional to 177.16, 267.16 and 167.08

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Solution

The fourth proportional to 177.16, 267.16 and 167.08 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.16 : 267.16 = 167.08 : x
  2. Step 2: Convert to fraction form
    177.16/267.16 = 167.08/x
  3. Step 3: Cross multiply
    177.16x = 267.16 × 167.08
  4. Step 4: Simplify right side
    177.16x = 44,637.09
  5. Step 5: Solve for x
    x = 44,637.09/177.16
  6. Step 6: Final answer
    x = 251.96

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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.