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Finding the Fourth Proportional to 324.77, 448.18 and 177.41

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Solution

The fourth proportional to 324.77, 448.18 and 177.41 is: 244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.77 : 448.18 = 177.41 : x
  2. Step 2: Convert to fraction form
    324.77/448.18 = 177.41/x
  3. Step 3: Cross multiply
    324.77x = 448.18 × 177.41
  4. Step 4: Simplify right side
    324.77x = 79,509.37
  5. Step 5: Solve for x
    x = 79,509.37/324.77
  6. Step 6: Final answer
    x = 244.82

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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.