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Finding the Fourth Proportional to 241.99, 363.29 and 165.24

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Solution

The fourth proportional to 241.99, 363.29 and 165.24 is: 248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.99 : 363.29 = 165.24 : x
  2. Step 2: Convert to fraction form
    241.99/363.29 = 165.24/x
  3. Step 3: Cross multiply
    241.99x = 363.29 × 165.24
  4. Step 4: Simplify right side
    241.99x = 60,029.21
  5. Step 5: Solve for x
    x = 60,029.21/241.99
  6. Step 6: Final answer
    x = 248.07

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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.