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Finding the Fourth Proportional to 231.26, 346.85 and 109.53

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Solution

The fourth proportional to 231.26, 346.85 and 109.53 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.26 : 346.85 = 109.53 : x
  2. Step 2: Convert to fraction form
    231.26/346.85 = 109.53/x
  3. Step 3: Cross multiply
    231.26x = 346.85 × 109.53
  4. Step 4: Simplify right side
    231.26x = 37,989.93
  5. Step 5: Solve for x
    x = 37,989.93/231.26
  6. Step 6: Final answer
    x = 164.28

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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.