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Finding the Fourth Proportional to 324.87, 448.31 and 177.51

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Solution

The fourth proportional to 324.87, 448.31 and 177.51 is: 244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.87 : 448.31 = 177.51 : x
  2. Step 2: Convert to fraction form
    324.87/448.31 = 177.51/x
  3. Step 3: Cross multiply
    324.87x = 448.31 × 177.51
  4. Step 4: Simplify right side
    324.87x = 79,578.70
  5. Step 5: Solve for x
    x = 79,578.70/324.87
  6. Step 6: Final answer
    x = 244.95

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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.