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Finding the Fourth Proportional to 292.20, 402.66 and 214.12

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Solution

The fourth proportional to 292.20, 402.66 and 214.12 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 402.66 = 214.12 : x
  2. Step 2: Convert to fraction form
    292.20/402.66 = 214.12/x
  3. Step 3: Cross multiply
    292.20x = 402.66 × 214.12
  4. Step 4: Simplify right side
    292.20x = 86,217.56
  5. Step 5: Solve for x
    x = 86,217.56/292.20
  6. Step 6: Final answer
    x = 295.06

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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.