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Finding the Fourth Proportional to 233.21, 349.81 and 70.89

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Solution

The fourth proportional to 233.21, 349.81 and 70.89 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 349.81 = 70.89 : x
  2. Step 2: Convert to fraction form
    233.21/349.81 = 70.89/x
  3. Step 3: Cross multiply
    233.21x = 349.81 × 70.89
  4. Step 4: Simplify right side
    233.21x = 24,797.78
  5. Step 5: Solve for x
    x = 24,797.78/233.21
  6. Step 6: Final answer
    x = 106.33

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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.