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Finding the Fourth Proportional to 241.31, 361.55 and 150.07

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Solution

The fourth proportional to 241.31, 361.55 and 150.07 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.31 : 361.55 = 150.07 : x
  2. Step 2: Convert to fraction form
    241.31/361.55 = 150.07/x
  3. Step 3: Cross multiply
    241.31x = 361.55 × 150.07
  4. Step 4: Simplify right side
    241.31x = 54,257.81
  5. Step 5: Solve for x
    x = 54,257.81/241.31
  6. Step 6: Final answer
    x = 224.85

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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.