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Finding the Fourth Proportional to 267.61, 400.95 and 121.11

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Solution

The fourth proportional to 267.61, 400.95 and 121.11 is: 181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.61 : 400.95 = 121.11 : x
  2. Step 2: Convert to fraction form
    267.61/400.95 = 121.11/x
  3. Step 3: Cross multiply
    267.61x = 400.95 × 121.11
  4. Step 4: Simplify right side
    267.61x = 48,559.05
  5. Step 5: Solve for x
    x = 48,559.05/267.61
  6. Step 6: Final answer
    x = 181.46

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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.