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Finding the Fourth Proportional to 233.08, 350.08 and 141.96

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Solution

The fourth proportional to 233.08, 350.08 and 141.96 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 350.08 = 141.96 : x
  2. Step 2: Convert to fraction form
    233.08/350.08 = 141.96/x
  3. Step 3: Cross multiply
    233.08x = 350.08 × 141.96
  4. Step 4: Simplify right side
    233.08x = 49,697.36
  5. Step 5: Solve for x
    x = 49,697.36/233.08
  6. Step 6: Final answer
    x = 213.22

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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.