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Finding the Fourth Proportional to 267.22, 400.55 and 181.54

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Solution

The fourth proportional to 267.22, 400.55 and 181.54 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 400.55 = 181.54 : x
  2. Step 2: Convert to fraction form
    267.22/400.55 = 181.54/x
  3. Step 3: Cross multiply
    267.22x = 400.55 × 181.54
  4. Step 4: Simplify right side
    267.22x = 72,715.85
  5. Step 5: Solve for x
    x = 72,715.85/267.22
  6. Step 6: Final answer
    x = 272.12

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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.