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Finding the Fourth Proportional to 329.18, 454.31 and 189.32

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Solution

The fourth proportional to 329.18, 454.31 and 189.32 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.18 : 454.31 = 189.32 : x
  2. Step 2: Convert to fraction form
    329.18/454.31 = 189.32/x
  3. Step 3: Cross multiply
    329.18x = 454.31 × 189.32
  4. Step 4: Simplify right side
    329.18x = 86,009.97
  5. Step 5: Solve for x
    x = 86,009.97/329.18
  6. Step 6: Final answer
    x = 261.29

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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.