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Finding the Fourth Proportional to 314.75, 472.09 and 109.29

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Solution

The fourth proportional to 314.75, 472.09 and 109.29 is: 163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 472.09 = 109.29 : x
  2. Step 2: Convert to fraction form
    314.75/472.09 = 109.29/x
  3. Step 3: Cross multiply
    314.75x = 472.09 × 109.29
  4. Step 4: Simplify right side
    314.75x = 51,594.72
  5. Step 5: Solve for x
    x = 51,594.72/314.75
  6. Step 6: Final answer
    x = 163.92

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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.