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Finding the Fourth Proportional to 231.09, 346.74 and 109.33

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Solution

The fourth proportional to 231.09, 346.74 and 109.33 is: 164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 346.74 = 109.33 : x
  2. Step 2: Convert to fraction form
    231.09/346.74 = 109.33/x
  3. Step 3: Cross multiply
    231.09x = 346.74 × 109.33
  4. Step 4: Simplify right side
    231.09x = 37,909.08
  5. Step 5: Solve for x
    x = 37,909.08/231.09
  6. Step 6: Final answer
    x = 164.04

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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.