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Finding the Fourth Proportional to 231.08, 346.69 and 196.93

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Solution

The fourth proportional to 231.08, 346.69 and 196.93 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.08 : 346.69 = 196.93 : x
  2. Step 2: Convert to fraction form
    231.08/346.69 = 196.93/x
  3. Step 3: Cross multiply
    231.08x = 346.69 × 196.93
  4. Step 4: Simplify right side
    231.08x = 68,273.66
  5. Step 5: Solve for x
    x = 68,273.66/231.08
  6. Step 6: Final answer
    x = 295.45

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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.