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Finding the Fourth Proportional to 204.17, 305.89 and 191.99

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Solution

The fourth proportional to 204.17, 305.89 and 191.99 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 305.89 = 191.99 : x
  2. Step 2: Convert to fraction form
    204.17/305.89 = 191.99/x
  3. Step 3: Cross multiply
    204.17x = 305.89 × 191.99
  4. Step 4: Simplify right side
    204.17x = 58,727.82
  5. Step 5: Solve for x
    x = 58,727.82/204.17
  6. Step 6: Final answer
    x = 287.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.