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Finding the Fourth Proportional to 200.82, 299.76 and 175.14

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Solution

The fourth proportional to 200.82, 299.76 and 175.14 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 299.76 = 175.14 : x
  2. Step 2: Convert to fraction form
    200.82/299.76 = 175.14/x
  3. Step 3: Cross multiply
    200.82x = 299.76 × 175.14
  4. Step 4: Simplify right side
    200.82x = 52,499.97
  5. Step 5: Solve for x
    x = 52,499.97/200.82
  6. Step 6: Final answer
    x = 261.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.