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Finding the Fourth Proportional to 231.43, 346.95 and 109.75

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Solution

The fourth proportional to 231.43, 346.95 and 109.75 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.43 : 346.95 = 109.75 : x
  2. Step 2: Convert to fraction form
    231.43/346.95 = 109.75/x
  3. Step 3: Cross multiply
    231.43x = 346.95 × 109.75
  4. Step 4: Simplify right side
    231.43x = 38,077.76
  5. Step 5: Solve for x
    x = 38,077.76/231.43
  6. Step 6: Final answer
    x = 164.53

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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.