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Finding the Fourth Proportional to 231.39, 346.95 and 109.71

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Solution

The fourth proportional to 231.39, 346.95 and 109.71 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.39 : 346.95 = 109.71 : x
  2. Step 2: Convert to fraction form
    231.39/346.95 = 109.71/x
  3. Step 3: Cross multiply
    231.39x = 346.95 × 109.71
  4. Step 4: Simplify right side
    231.39x = 38,063.88
  5. Step 5: Solve for x
    x = 38,063.88/231.39
  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.