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Finding the Fourth Proportional to 265.55, 398.26 and 100.96

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Solution

The fourth proportional to 265.55, 398.26 and 100.96 is: 151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.55 : 398.26 = 100.96 : x
  2. Step 2: Convert to fraction form
    265.55/398.26 = 100.96/x
  3. Step 3: Cross multiply
    265.55x = 398.26 × 100.96
  4. Step 4: Simplify right side
    265.55x = 40,208.66
  5. Step 5: Solve for x
    x = 40,208.66/265.55
  6. Step 6: Final answer
    x = 151.42

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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.