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Finding the Fourth Proportional to 241.86, 363.17 and 151.13

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Solution

The fourth proportional to 241.86, 363.17 and 151.13 is: 226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.86 : 363.17 = 151.13 : x
  2. Step 2: Convert to fraction form
    241.86/363.17 = 151.13/x
  3. Step 3: Cross multiply
    241.86x = 363.17 × 151.13
  4. Step 4: Simplify right side
    241.86x = 54,885.88
  5. Step 5: Solve for x
    x = 54,885.88/241.86
  6. Step 6: Final answer
    x = 226.93

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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.