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Finding the Fourth Proportional to 267.32, 400.91 and 120.99

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Solution

The fourth proportional to 267.32, 400.91 and 120.99 is: 181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 400.91 = 120.99 : x
  2. Step 2: Convert to fraction form
    267.32/400.91 = 120.99/x
  3. Step 3: Cross multiply
    267.32x = 400.91 × 120.99
  4. Step 4: Simplify right side
    267.32x = 48,506.10
  5. Step 5: Solve for x
    x = 48,506.10/267.32
  6. Step 6: Final answer
    x = 181.45

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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.