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Finding the Fourth Proportional to 201.84, 303.27 and 193.74

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Solution

The fourth proportional to 201.84, 303.27 and 193.74 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 303.27 = 193.74 : x
  2. Step 2: Convert to fraction form
    201.84/303.27 = 193.74/x
  3. Step 3: Cross multiply
    201.84x = 303.27 × 193.74
  4. Step 4: Simplify right side
    201.84x = 58,755.53
  5. Step 5: Solve for x
    x = 58,755.53/201.84
  6. Step 6: Final answer
    x = 291.10

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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.