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Finding the Fourth Proportional to 271.29, 374.43 and 154.86

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Solution

The fourth proportional to 271.29, 374.43 and 154.86 is: 213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.29 : 374.43 = 154.86 : x
  2. Step 2: Convert to fraction form
    271.29/374.43 = 154.86/x
  3. Step 3: Cross multiply
    271.29x = 374.43 × 154.86
  4. Step 4: Simplify right side
    271.29x = 57,984.23
  5. Step 5: Solve for x
    x = 57,984.23/271.29
  6. Step 6: Final answer
    x = 213.74

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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.