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Finding the Fourth Proportional to 177.17, 264.56 and 167.04

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Solution

The fourth proportional to 177.17, 264.56 and 167.04 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.17 : 264.56 = 167.04 : x
  2. Step 2: Convert to fraction form
    177.17/264.56 = 167.04/x
  3. Step 3: Cross multiply
    177.17x = 264.56 × 167.04
  4. Step 4: Simplify right side
    177.17x = 44,191.27
  5. Step 5: Solve for x
    x = 44,191.27/177.17
  6. Step 6: Final answer
    x = 249.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.