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Finding the Fourth Proportional to 294.98, 406.96 and 170.61

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Solution

The fourth proportional to 294.98, 406.96 and 170.61 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 406.96 = 170.61 : x
  2. Step 2: Convert to fraction form
    294.98/406.96 = 170.61/x
  3. Step 3: Cross multiply
    294.98x = 406.96 × 170.61
  4. Step 4: Simplify right side
    294.98x = 69,429.49
  5. Step 5: Solve for x
    x = 69,429.49/294.98
  6. Step 6: Final answer
    x = 235.37

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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.