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Finding the Fourth Proportional to 267.45, 399.77 and 229.20

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Solution

The fourth proportional to 267.45, 399.77 and 229.20 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 399.77 = 229.20 : x
  2. Step 2: Convert to fraction form
    267.45/399.77 = 229.20/x
  3. Step 3: Cross multiply
    267.45x = 399.77 × 229.20
  4. Step 4: Simplify right side
    267.45x = 91,626.14
  5. Step 5: Solve for x
    x = 91,626.14/267.45
  6. Step 6: Final answer
    x = 342.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.