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Finding the Fourth Proportional to 271.12, 373.92 and 167.44

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Solution

The fourth proportional to 271.12, 373.92 and 167.44 is: 230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.12 : 373.92 = 167.44 : x
  2. Step 2: Convert to fraction form
    271.12/373.92 = 167.44/x
  3. Step 3: Cross multiply
    271.12x = 373.92 × 167.44
  4. Step 4: Simplify right side
    271.12x = 62,609.16
  5. Step 5: Solve for x
    x = 62,609.16/271.12
  6. Step 6: Final answer
    x = 230.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.