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Finding the Fourth Proportional to 275.12, 379.44 and 200.48

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Solution

The fourth proportional to 275.12, 379.44 and 200.48 is: 276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 379.44 = 200.48 : x
  2. Step 2: Convert to fraction form
    275.12/379.44 = 200.48/x
  3. Step 3: Cross multiply
    275.12x = 379.44 × 200.48
  4. Step 4: Simplify right side
    275.12x = 76,070.13
  5. Step 5: Solve for x
    x = 76,070.13/275.12
  6. Step 6: Final answer
    x = 276.50

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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.