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Finding the Fourth Proportional to 271.11, 374.04 and 166.17

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Solution

The fourth proportional to 271.11, 374.04 and 166.17 is: 229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.11 : 374.04 = 166.17 : x
  2. Step 2: Convert to fraction form
    271.11/374.04 = 166.17/x
  3. Step 3: Cross multiply
    271.11x = 374.04 × 166.17
  4. Step 4: Simplify right side
    271.11x = 62,154.23
  5. Step 5: Solve for x
    x = 62,154.23/271.11
  6. Step 6: Final answer
    x = 229.26

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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.