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Finding the Fourth Proportional to 231.65, 346.98 and 109.73

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Solution

The fourth proportional to 231.65, 346.98 and 109.73 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.65 : 346.98 = 109.73 : x
  2. Step 2: Convert to fraction form
    231.65/346.98 = 109.73/x
  3. Step 3: Cross multiply
    231.65x = 346.98 × 109.73
  4. Step 4: Simplify right side
    231.65x = 38,074.12
  5. Step 5: Solve for x
    x = 38,074.12/231.65
  6. Step 6: Final answer
    x = 164.36

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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.