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Finding the Fourth Proportional to 231.30, 347.07 and 109.59

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Solution

The fourth proportional to 231.30, 347.07 and 109.59 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.30 : 347.07 = 109.59 : x
  2. Step 2: Convert to fraction form
    231.30/347.07 = 109.59/x
  3. Step 3: Cross multiply
    231.30x = 347.07 × 109.59
  4. Step 4: Simplify right side
    231.30x = 38,035.40
  5. Step 5: Solve for x
    x = 38,035.40/231.30
  6. Step 6: Final answer
    x = 164.44

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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.