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Finding the Fourth Proportional to 233.72, 350.57 and 105.32

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Solution

The fourth proportional to 233.72, 350.57 and 105.32 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 350.57 = 105.32 : x
  2. Step 2: Convert to fraction form
    233.72/350.57 = 105.32/x
  3. Step 3: Cross multiply
    233.72x = 350.57 × 105.32
  4. Step 4: Simplify right side
    233.72x = 36,920.54
  5. Step 5: Solve for x
    x = 36,920.54/233.72
  6. Step 6: Final answer
    x = 157.97

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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.