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Finding the Fourth Proportional to 325.34, 448.97 and 177.98

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Solution

The fourth proportional to 325.34, 448.97 and 177.98 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.34 : 448.97 = 177.98 : x
  2. Step 2: Convert to fraction form
    325.34/448.97 = 177.98/x
  3. Step 3: Cross multiply
    325.34x = 448.97 × 177.98
  4. Step 4: Simplify right side
    325.34x = 79,905.44
  5. Step 5: Solve for x
    x = 79,905.44/325.34
  6. Step 6: Final answer
    x = 245.61

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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.