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Finding the Fourth Proportional to 324.25, 447.47 and 176.89

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Solution

The fourth proportional to 324.25, 447.47 and 176.89 is: 244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 447.47 = 176.89 : x
  2. Step 2: Convert to fraction form
    324.25/447.47 = 176.89/x
  3. Step 3: Cross multiply
    324.25x = 447.47 × 176.89
  4. Step 4: Simplify right side
    324.25x = 79,152.97
  5. Step 5: Solve for x
    x = 79,152.97/324.25
  6. Step 6: Final answer
    x = 244.11

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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.