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Finding the Fourth Proportional to 275, 412.38 and 110.42

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Solution

The fourth proportional to 275, 412.38 and 110.42 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275 : 412.38 = 110.42 : x
  2. Step 2: Convert to fraction form
    275/412.38 = 110.42/x
  3. Step 3: Cross multiply
    275x = 412.38 × 110.42
  4. Step 4: Simplify right side
    275x = 45,535.00
  5. Step 5: Solve for x
    x = 45,535.00/275
  6. Step 6: Final answer
    x = 165.58

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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.