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Finding the Fourth Proportional to 320.17, 441.78 and 189.22

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Solution

The fourth proportional to 320.17, 441.78 and 189.22 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.17 : 441.78 = 189.22 : x
  2. Step 2: Convert to fraction form
    320.17/441.78 = 189.22/x
  3. Step 3: Cross multiply
    320.17x = 441.78 × 189.22
  4. Step 4: Simplify right side
    320.17x = 83,593.61
  5. Step 5: Solve for x
    x = 83,593.61/320.17
  6. Step 6: Final answer
    x = 261.09

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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.