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Finding the Fourth Proportional to 329.15, 454.20 and 189.24

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Solution

The fourth proportional to 329.15, 454.20 and 189.24 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.15 : 454.20 = 189.24 : x
  2. Step 2: Convert to fraction form
    329.15/454.20 = 189.24/x
  3. Step 3: Cross multiply
    329.15x = 454.20 × 189.24
  4. Step 4: Simplify right side
    329.15x = 85,950.93
  5. Step 5: Solve for x
    x = 85,950.93/329.15
  6. Step 6: Final answer
    x = 261.13

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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.