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Finding the Fourth Proportional to 324.65, 448.03 and 177.30

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Solution

The fourth proportional to 324.65, 448.03 and 177.30 is: 244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 448.03 = 177.30 : x
  2. Step 2: Convert to fraction form
    324.65/448.03 = 177.30/x
  3. Step 3: Cross multiply
    324.65x = 448.03 × 177.30
  4. Step 4: Simplify right side
    324.65x = 79,435.94
  5. Step 5: Solve for x
    x = 79,435.94/324.65
  6. Step 6: Final answer
    x = 244.68

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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.