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Finding the Fourth Proportional to 241.86, 361.64 and 208.02

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Solution

The fourth proportional to 241.86, 361.64 and 208.02 is: 311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.86 : 361.64 = 208.02 : x
  2. Step 2: Convert to fraction form
    241.86/361.64 = 208.02/x
  3. Step 3: Cross multiply
    241.86x = 361.64 × 208.02
  4. Step 4: Simplify right side
    241.86x = 75,228.35
  5. Step 5: Solve for x
    x = 75,228.35/241.86
  6. Step 6: Final answer
    x = 311.04

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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.