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Finding the Fourth Proportional to 294.81, 406.92 and 211.96

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Solution

The fourth proportional to 294.81, 406.92 and 211.96 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.81 : 406.92 = 211.96 : x
  2. Step 2: Convert to fraction form
    294.81/406.92 = 211.96/x
  3. Step 3: Cross multiply
    294.81x = 406.92 × 211.96
  4. Step 4: Simplify right side
    294.81x = 86,250.76
  5. Step 5: Solve for x
    x = 86,250.76/294.81
  6. Step 6: Final answer
    x = 292.56

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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.