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Finding the Fourth Proportional to 294.60, 406.42 and 170.24

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Solution

The fourth proportional to 294.60, 406.42 and 170.24 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.42 = 170.24 : x
  2. Step 2: Convert to fraction form
    294.60/406.42 = 170.24/x
  3. Step 3: Cross multiply
    294.60x = 406.42 × 170.24
  4. Step 4: Simplify right side
    294.60x = 69,188.94
  5. Step 5: Solve for x
    x = 69,188.94/294.60
  6. Step 6: Final answer
    x = 234.86

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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.