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Finding the Fourth Proportional to 329.27, 454.32 and 187.49

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Solution

The fourth proportional to 329.27, 454.32 and 187.49 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.27 : 454.32 = 187.49 : x
  2. Step 2: Convert to fraction form
    329.27/454.32 = 187.49/x
  3. Step 3: Cross multiply
    329.27x = 454.32 × 187.49
  4. Step 4: Simplify right side
    329.27x = 85,178.19
  5. Step 5: Solve for x
    x = 85,178.19/329.27
  6. Step 6: Final answer
    x = 258.69

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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.