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Finding the Fourth Proportional to 271.27, 374.34 and 146.92

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Solution

The fourth proportional to 271.27, 374.34 and 146.92 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.27 : 374.34 = 146.92 : x
  2. Step 2: Convert to fraction form
    271.27/374.34 = 146.92/x
  3. Step 3: Cross multiply
    271.27x = 374.34 × 146.92
  4. Step 4: Simplify right side
    271.27x = 54,998.03
  5. Step 5: Solve for x
    x = 54,998.03/271.27
  6. Step 6: Final answer
    x = 202.75

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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.