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Finding the Fourth Proportional to 324.67, 448.04 and 177.31

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Solution

The fourth proportional to 324.67, 448.04 and 177.31 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.67 : 448.04 = 177.31 : x
  2. Step 2: Convert to fraction form
    324.67/448.04 = 177.31/x
  3. Step 3: Cross multiply
    324.67x = 448.04 × 177.31
  4. Step 4: Simplify right side
    324.67x = 79,441.97
  5. Step 5: Solve for x
    x = 79,441.97/324.67
  6. Step 6: Final answer
    x = 244.69

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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.