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Finding the Fourth Proportional to 271.34, 374.31 and 160.77

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Solution

The fourth proportional to 271.34, 374.31 and 160.77 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.34 : 374.31 = 160.77 : x
  2. Step 2: Convert to fraction form
    271.34/374.31 = 160.77/x
  3. Step 3: Cross multiply
    271.34x = 374.31 × 160.77
  4. Step 4: Simplify right side
    271.34x = 60,177.82
  5. Step 5: Solve for x
    x = 60,177.82/271.34
  6. Step 6: Final answer
    x = 221.78

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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.