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Finding the Fourth Proportional to 233.90, 350.86 and 112.12

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Solution

The fourth proportional to 233.90, 350.86 and 112.12 is: 168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 350.86 = 112.12 : x
  2. Step 2: Convert to fraction form
    233.90/350.86 = 112.12/x
  3. Step 3: Cross multiply
    233.90x = 350.86 × 112.12
  4. Step 4: Simplify right side
    233.90x = 39,338.42
  5. Step 5: Solve for x
    x = 39,338.42/233.90
  6. Step 6: Final answer
    x = 168.18

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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.