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Finding the Fourth Proportional to 271.09, 374.08 and 166.13

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Solution

The fourth proportional to 271.09, 374.08 and 166.13 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 374.08 = 166.13 : x
  2. Step 2: Convert to fraction form
    271.09/374.08 = 166.13/x
  3. Step 3: Cross multiply
    271.09x = 374.08 × 166.13
  4. Step 4: Simplify right side
    271.09x = 62,145.08
  5. Step 5: Solve for x
    x = 62,145.08/271.09
  6. Step 6: Final answer
    x = 229.25

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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.