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Finding the Fourth Proportional to 325.22, 448.96 and 200.95

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Solution

The fourth proportional to 325.22, 448.96 and 200.95 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.22 : 448.96 = 200.95 : x
  2. Step 2: Convert to fraction form
    325.22/448.96 = 200.95/x
  3. Step 3: Cross multiply
    325.22x = 448.96 × 200.95
  4. Step 4: Simplify right side
    325.22x = 90,219.79
  5. Step 5: Solve for x
    x = 90,219.79/325.22
  6. Step 6: Final answer
    x = 277.41

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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.