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Finding the Fourth Proportional to 267.19, 399.77 and 233.39

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Solution

The fourth proportional to 267.19, 399.77 and 233.39 is: 349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.19 : 399.77 = 233.39 : x
  2. Step 2: Convert to fraction form
    267.19/399.77 = 233.39/x
  3. Step 3: Cross multiply
    267.19x = 399.77 × 233.39
  4. Step 4: Simplify right side
    267.19x = 93,301.15
  5. Step 5: Solve for x
    x = 93,301.15/267.19
  6. Step 6: Final answer
    x = 349.20

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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.