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Finding the Fourth Proportional to 231.96, 348.06 and 110.20

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Solution

The fourth proportional to 231.96, 348.06 and 110.20 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 348.06 = 110.20 : x
  2. Step 2: Convert to fraction form
    231.96/348.06 = 110.20/x
  3. Step 3: Cross multiply
    231.96x = 348.06 × 110.20
  4. Step 4: Simplify right side
    231.96x = 38,356.21
  5. Step 5: Solve for x
    x = 38,356.21/231.96
  6. Step 6: Final answer
    x = 165.36

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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.