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Finding the Fourth Proportional to 294.98, 406.90 and 212.20

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Solution

The fourth proportional to 294.98, 406.90 and 212.20 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 406.90 = 212.20 : x
  2. Step 2: Convert to fraction form
    294.98/406.90 = 212.20/x
  3. Step 3: Cross multiply
    294.98x = 406.90 × 212.20
  4. Step 4: Simplify right side
    294.98x = 86,345.61
  5. Step 5: Solve for x
    x = 86,345.61/294.98
  6. Step 6: Final answer
    x = 292.71

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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.