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Finding the Fourth Proportional to 325.32, 448.96 and 177.97

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Solution

The fourth proportional to 325.32, 448.96 and 177.97 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 448.96 = 177.97 : x
  2. Step 2: Convert to fraction form
    325.32/448.96 = 177.97/x
  3. Step 3: Cross multiply
    325.32x = 448.96 × 177.97
  4. Step 4: Simplify right side
    325.32x = 79,901.41
  5. Step 5: Solve for x
    x = 79,901.41/325.32
  6. Step 6: Final answer
    x = 245.61

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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.