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Finding the Fourth Proportional to 233.51, 349.64 and 196.86

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Solution

The fourth proportional to 233.51, 349.64 and 196.86 is: 294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 349.64 = 196.86 : x
  2. Step 2: Convert to fraction form
    233.51/349.64 = 196.86/x
  3. Step 3: Cross multiply
    233.51x = 349.64 × 196.86
  4. Step 4: Simplify right side
    233.51x = 68,828.80
  5. Step 5: Solve for x
    x = 68,828.80/233.51
  6. Step 6: Final answer
    x = 294.76

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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.