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Finding the Fourth Proportional to 241.35, 361.49 and 187.08

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Solution

The fourth proportional to 241.35, 361.49 and 187.08 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.35 : 361.49 = 187.08 : x
  2. Step 2: Convert to fraction form
    241.35/361.49 = 187.08/x
  3. Step 3: Cross multiply
    241.35x = 361.49 × 187.08
  4. Step 4: Simplify right side
    241.35x = 67,626.61
  5. Step 5: Solve for x
    x = 67,626.61/241.35
  6. Step 6: Final answer
    x = 280.20

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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.