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Finding the Fourth Proportional to 241.70, 362.01 and 150.14

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Solution

The fourth proportional to 241.70, 362.01 and 150.14 is: 224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.70 : 362.01 = 150.14 : x
  2. Step 2: Convert to fraction form
    241.70/362.01 = 150.14/x
  3. Step 3: Cross multiply
    241.70x = 362.01 × 150.14
  4. Step 4: Simplify right side
    241.70x = 54,353.09
  5. Step 5: Solve for x
    x = 54,353.09/241.70
  6. Step 6: Final answer
    x = 224.88

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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.