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Finding the Fourth Proportional to 324.80, 448.23 and 177.45

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Solution

The fourth proportional to 324.80, 448.23 and 177.45 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 448.23 = 177.45 : x
  2. Step 2: Convert to fraction form
    324.80/448.23 = 177.45/x
  3. Step 3: Cross multiply
    324.80x = 448.23 × 177.45
  4. Step 4: Simplify right side
    324.80x = 79,536.73
  5. Step 5: Solve for x
    x = 79,536.73/324.80
  6. Step 6: Final answer
    x = 244.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.