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Finding the Fourth Proportional to 271, 374.04 and 231.52

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Solution

The fourth proportional to 271, 374.04 and 231.52 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 374.04 = 231.52 : x
  2. Step 2: Convert to fraction form
    271/374.04 = 231.52/x
  3. Step 3: Cross multiply
    271x = 374.04 × 231.52
  4. Step 4: Simplify right side
    271x = 86,597.74
  5. Step 5: Solve for x
    x = 86,597.74/271
  6. Step 6: Final answer
    x = 319.55

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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.