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Finding the Fourth Proportional to 294.19, 405.96 and 169.84

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Solution

The fourth proportional to 294.19, 405.96 and 169.84 is: 234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 405.96 = 169.84 : x
  2. Step 2: Convert to fraction form
    294.19/405.96 = 169.84/x
  3. Step 3: Cross multiply
    294.19x = 405.96 × 169.84
  4. Step 4: Simplify right side
    294.19x = 68,948.25
  5. Step 5: Solve for x
    x = 68,948.25/294.19
  6. Step 6: Final answer
    x = 234.37

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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.