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Finding the Fourth Proportional to 292.35, 402.97 and 213.69

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Solution

The fourth proportional to 292.35, 402.97 and 213.69 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.35 : 402.97 = 213.69 : x
  2. Step 2: Convert to fraction form
    292.35/402.97 = 213.69/x
  3. Step 3: Cross multiply
    292.35x = 402.97 × 213.69
  4. Step 4: Simplify right side
    292.35x = 86,110.66
  5. Step 5: Solve for x
    x = 86,110.66/292.35
  6. Step 6: Final answer
    x = 294.55

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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.