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Finding the Fourth Proportional to 265.55, 398.41 and 92.26

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Solution

The fourth proportional to 265.55, 398.41 and 92.26 is: 138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.55 : 398.41 = 92.26 : x
  2. Step 2: Convert to fraction form
    265.55/398.41 = 92.26/x
  3. Step 3: Cross multiply
    265.55x = 398.41 × 92.26
  4. Step 4: Simplify right side
    265.55x = 36,756.71
  5. Step 5: Solve for x
    x = 36,756.71/265.55
  6. Step 6: Final answer
    x = 138.42

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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.