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Finding the Fourth Proportional to 271.14, 373.97 and 177.74

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Solution

The fourth proportional to 271.14, 373.97 and 177.74 is: 245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 373.97 = 177.74 : x
  2. Step 2: Convert to fraction form
    271.14/373.97 = 177.74/x
  3. Step 3: Cross multiply
    271.14x = 373.97 × 177.74
  4. Step 4: Simplify right side
    271.14x = 66,467.56
  5. Step 5: Solve for x
    x = 66,467.56/271.14
  6. Step 6: Final answer
    x = 245.14

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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.