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Finding the Fourth Proportional to 292.12, 402.97 and 271.27

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Solution

The fourth proportional to 292.12, 402.97 and 271.27 is: 374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 402.97 = 271.27 : x
  2. Step 2: Convert to fraction form
    292.12/402.97 = 271.27/x
  3. Step 3: Cross multiply
    292.12x = 402.97 × 271.27
  4. Step 4: Simplify right side
    292.12x = 109,313.67
  5. Step 5: Solve for x
    x = 109,313.67/292.12
  6. Step 6: Final answer
    x = 374.21

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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.