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Finding the Fourth Proportional to 294.57, 441.96 and 109.50

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Solution

The fourth proportional to 294.57, 441.96 and 109.50 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 441.96 = 109.50 : x
  2. Step 2: Convert to fraction form
    294.57/441.96 = 109.50/x
  3. Step 3: Cross multiply
    294.57x = 441.96 × 109.50
  4. Step 4: Simplify right side
    294.57x = 48,394.62
  5. Step 5: Solve for x
    x = 48,394.62/294.57
  6. Step 6: Final answer
    x = 164.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.