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Finding the Fourth Proportional to 294.56, 406.49 and 159.97

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Solution

The fourth proportional to 294.56, 406.49 and 159.97 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 406.49 = 159.97 : x
  2. Step 2: Convert to fraction form
    294.56/406.49 = 159.97/x
  3. Step 3: Cross multiply
    294.56x = 406.49 × 159.97
  4. Step 4: Simplify right side
    294.56x = 65,026.21
  5. Step 5: Solve for x
    x = 65,026.21/294.56
  6. Step 6: Final answer
    x = 220.76

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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.