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Finding the Fourth Proportional to 233.69, 350.42 and 71.33

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Solution

The fourth proportional to 233.69, 350.42 and 71.33 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 350.42 = 71.33 : x
  2. Step 2: Convert to fraction form
    233.69/350.42 = 71.33/x
  3. Step 3: Cross multiply
    233.69x = 350.42 × 71.33
  4. Step 4: Simplify right side
    233.69x = 24,993.35
  5. Step 5: Solve for x
    x = 24,993.35/233.69
  6. Step 6: Final answer
    x = 106.95

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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.