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Finding the Fourth Proportional to 320.25, 441.89 and 189.29

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Solution

The fourth proportional to 320.25, 441.89 and 189.29 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 441.89 = 189.29 : x
  2. Step 2: Convert to fraction form
    320.25/441.89 = 189.29/x
  3. Step 3: Cross multiply
    320.25x = 441.89 × 189.29
  4. Step 4: Simplify right side
    320.25x = 83,645.36
  5. Step 5: Solve for x
    x = 83,645.36/320.25
  6. Step 6: Final answer
    x = 261.19

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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.