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Finding the Fourth Proportional to 315.29, 472.61 and 109.69

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Solution

The fourth proportional to 315.29, 472.61 and 109.69 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 472.61 = 109.69 : x
  2. Step 2: Convert to fraction form
    315.29/472.61 = 109.69/x
  3. Step 3: Cross multiply
    315.29x = 472.61 × 109.69
  4. Step 4: Simplify right side
    315.29x = 51,840.57
  5. Step 5: Solve for x
    x = 51,840.57/315.29
  6. Step 6: Final answer
    x = 164.42

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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.