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Finding the Fourth Proportional to 271.14, 374.16 and 177.75

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Solution

The fourth proportional to 271.14, 374.16 and 177.75 is: 245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 374.16 = 177.75 : x
  2. Step 2: Convert to fraction form
    271.14/374.16 = 177.75/x
  3. Step 3: Cross multiply
    271.14x = 374.16 × 177.75
  4. Step 4: Simplify right side
    271.14x = 66,506.94
  5. Step 5: Solve for x
    x = 66,506.94/271.14
  6. Step 6: Final answer
    x = 245.29

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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.