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Finding the Fourth Proportional to 262.16, 362.25 and 199.88

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Solution

The fourth proportional to 262.16, 362.25 and 199.88 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 362.25 = 199.88 : x
  2. Step 2: Convert to fraction form
    262.16/362.25 = 199.88/x
  3. Step 3: Cross multiply
    262.16x = 362.25 × 199.88
  4. Step 4: Simplify right side
    262.16x = 72,404.72
  5. Step 5: Solve for x
    x = 72,404.72/262.16
  6. Step 6: Final answer
    x = 276.19

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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.