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Finding the Fourth Proportional to 271.19, 374.28 and 160.76

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Solution

The fourth proportional to 271.19, 374.28 and 160.76 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.19 : 374.28 = 160.76 : x
  2. Step 2: Convert to fraction form
    271.19/374.28 = 160.76/x
  3. Step 3: Cross multiply
    271.19x = 374.28 × 160.76
  4. Step 4: Simplify right side
    271.19x = 60,169.25
  5. Step 5: Solve for x
    x = 60,169.25/271.19
  6. Step 6: Final answer
    x = 221.87

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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.