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Finding the Fourth Proportional to 233.81, 350.87 and 112.08

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Solution

The fourth proportional to 233.81, 350.87 and 112.08 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.81 : 350.87 = 112.08 : x
  2. Step 2: Convert to fraction form
    233.81/350.87 = 112.08/x
  3. Step 3: Cross multiply
    233.81x = 350.87 × 112.08
  4. Step 4: Simplify right side
    233.81x = 39,324.29
  5. Step 5: Solve for x
    x = 39,324.29/233.81
  6. Step 6: Final answer
    x = 168.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.