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Finding the Fourth Proportional to 262.92, 362.28 and 200.34

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Solution

The fourth proportional to 262.92, 362.28 and 200.34 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.92 : 362.28 = 200.34 : x
  2. Step 2: Convert to fraction form
    262.92/362.28 = 200.34/x
  3. Step 3: Cross multiply
    262.92x = 362.28 × 200.34
  4. Step 4: Simplify right side
    262.92x = 72,579.18
  5. Step 5: Solve for x
    x = 72,579.18/262.92
  6. Step 6: Final answer
    x = 276.05

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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.