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Finding the Fourth Proportional to 233.81, 350.69 and 71.48

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Solution

The fourth proportional to 233.81, 350.69 and 71.48 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.81 : 350.69 = 71.48 : x
  2. Step 2: Convert to fraction form
    233.81/350.69 = 71.48/x
  3. Step 3: Cross multiply
    233.81x = 350.69 × 71.48
  4. Step 4: Simplify right side
    233.81x = 25,065.21
  5. Step 5: Solve for x
    x = 25,065.21/233.81
  6. Step 6: Final answer
    x = 107.21

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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.