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Finding the Fourth Proportional to 320.09, 441.72 and 189.18

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Solution

The fourth proportional to 320.09, 441.72 and 189.18 is: 261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 441.72 = 189.18 : x
  2. Step 2: Convert to fraction form
    320.09/441.72 = 189.18/x
  3. Step 3: Cross multiply
    320.09x = 441.72 × 189.18
  4. Step 4: Simplify right side
    320.09x = 83,564.59
  5. Step 5: Solve for x
    x = 83,564.59/320.09
  6. Step 6: Final answer
    x = 261.07

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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.