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Finding the Fourth Proportional to 271.11, 374.04 and 160.50

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Solution

The fourth proportional to 271.11, 374.04 and 160.50 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.11 : 374.04 = 160.50 : x
  2. Step 2: Convert to fraction form
    271.11/374.04 = 160.50/x
  3. Step 3: Cross multiply
    271.11x = 374.04 × 160.50
  4. Step 4: Simplify right side
    271.11x = 60,033.42
  5. Step 5: Solve for x
    x = 60,033.42/271.11
  6. Step 6: Final answer
    x = 221.44

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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.