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Finding the Fourth Proportional to 271.32, 374.42 and 154.91

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Solution

The fourth proportional to 271.32, 374.42 and 154.91 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 374.42 = 154.91 : x
  2. Step 2: Convert to fraction form
    271.32/374.42 = 154.91/x
  3. Step 3: Cross multiply
    271.32x = 374.42 × 154.91
  4. Step 4: Simplify right side
    271.32x = 57,998.76
  5. Step 5: Solve for x
    x = 57,998.76/271.32
  6. Step 6: Final answer
    x = 213.77

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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.