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Finding the Fourth Proportional to 324.66, 448.05 and 177.31

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Solution

The fourth proportional to 324.66, 448.05 and 177.31 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.66 : 448.05 = 177.31 : x
  2. Step 2: Convert to fraction form
    324.66/448.05 = 177.31/x
  3. Step 3: Cross multiply
    324.66x = 448.05 × 177.31
  4. Step 4: Simplify right side
    324.66x = 79,440.62
  5. Step 5: Solve for x
    x = 79,440.62/324.66
  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.