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Finding the Fourth Proportional to 233.21, 349.26 and 196.76

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Solution

The fourth proportional to 233.21, 349.26 and 196.76 is: 294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 349.26 = 196.76 : x
  2. Step 2: Convert to fraction form
    233.21/349.26 = 196.76/x
  3. Step 3: Cross multiply
    233.21x = 349.26 × 196.76
  4. Step 4: Simplify right side
    233.21x = 68,718.65
  5. Step 5: Solve for x
    x = 68,718.65/233.21
  6. Step 6: Final answer
    x = 294.67

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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.