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Finding the Fourth Proportional to 201.84, 303.12 and 181.68

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Solution

The fourth proportional to 201.84, 303.12 and 181.68 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 303.12 = 181.68 : x
  2. Step 2: Convert to fraction form
    201.84/303.12 = 181.68/x
  3. Step 3: Cross multiply
    201.84x = 303.12 × 181.68
  4. Step 4: Simplify right side
    201.84x = 55,070.84
  5. Step 5: Solve for x
    x = 55,070.84/201.84
  6. Step 6: Final answer
    x = 272.84

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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.