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Finding the Fourth Proportional to 231.80, 347.87 and 110.06

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Solution

The fourth proportional to 231.80, 347.87 and 110.06 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.80 : 347.87 = 110.06 : x
  2. Step 2: Convert to fraction form
    231.80/347.87 = 110.06/x
  3. Step 3: Cross multiply
    231.80x = 347.87 × 110.06
  4. Step 4: Simplify right side
    231.80x = 38,286.57
  5. Step 5: Solve for x
    x = 38,286.57/231.80
  6. Step 6: Final answer
    x = 165.17

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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.