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Finding the Fourth Proportional to 275, 412.40 and 92.34

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Solution

The fourth proportional to 275, 412.40 and 92.34 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275 : 412.40 = 92.34 : x
  2. Step 2: Convert to fraction form
    275/412.40 = 92.34/x
  3. Step 3: Cross multiply
    275x = 412.40 × 92.34
  4. Step 4: Simplify right side
    275x = 38,081.02
  5. Step 5: Solve for x
    x = 38,081.02/275
  6. Step 6: Final answer
    x = 138.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.