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Finding the Fourth Proportional to 314.82, 472.24 and 109.65

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Solution

The fourth proportional to 314.82, 472.24 and 109.65 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 472.24 = 109.65 : x
  2. Step 2: Convert to fraction form
    314.82/472.24 = 109.65/x
  3. Step 3: Cross multiply
    314.82x = 472.24 × 109.65
  4. Step 4: Simplify right side
    314.82x = 51,781.12
  5. Step 5: Solve for x
    x = 51,781.12/314.82
  6. Step 6: Final answer
    x = 164.48

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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.