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Finding the Fourth Proportional to 231.48, 347.09 and 109.71

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Solution

The fourth proportional to 231.48, 347.09 and 109.71 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 347.09 = 109.71 : x
  2. Step 2: Convert to fraction form
    231.48/347.09 = 109.71/x
  3. Step 3: Cross multiply
    231.48x = 347.09 × 109.71
  4. Step 4: Simplify right side
    231.48x = 38,078.70
  5. Step 5: Solve for x
    x = 38,078.70/231.48
  6. Step 6: Final answer
    x = 164.50

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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.