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Finding the Fourth Proportional to 271.24, 374.10 and 166.24

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Solution

The fourth proportional to 271.24, 374.10 and 166.24 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 374.10 = 166.24 : x
  2. Step 2: Convert to fraction form
    271.24/374.10 = 166.24/x
  3. Step 3: Cross multiply
    271.24x = 374.10 × 166.24
  4. Step 4: Simplify right side
    271.24x = 62,190.38
  5. Step 5: Solve for x
    x = 62,190.38/271.24
  6. Step 6: Final answer
    x = 229.28

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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.