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Finding the Fourth Proportional to 241.83, 363.06 and 165.15

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Solution

The fourth proportional to 241.83, 363.06 and 165.15 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.83 : 363.06 = 165.15 : x
  2. Step 2: Convert to fraction form
    241.83/363.06 = 165.15/x
  3. Step 3: Cross multiply
    241.83x = 363.06 × 165.15
  4. Step 4: Simplify right side
    241.83x = 59,959.36
  5. Step 5: Solve for x
    x = 59,959.36/241.83
  6. Step 6: Final answer
    x = 247.94

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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.