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Finding the Fourth Proportional to 324.15, 447.28 and 184.23

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Solution

The fourth proportional to 324.15, 447.28 and 184.23 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.15 : 447.28 = 184.23 : x
  2. Step 2: Convert to fraction form
    324.15/447.28 = 184.23/x
  3. Step 3: Cross multiply
    324.15x = 447.28 × 184.23
  4. Step 4: Simplify right side
    324.15x = 82,402.39
  5. Step 5: Solve for x
    x = 82,402.39/324.15
  6. Step 6: Final answer
    x = 254.21

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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.