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Finding the Fourth Proportional to 241.17, 362.12 and 149.61

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Solution

The fourth proportional to 241.17, 362.12 and 149.61 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.17 : 362.12 = 149.61 : x
  2. Step 2: Convert to fraction form
    241.17/362.12 = 149.61/x
  3. Step 3: Cross multiply
    241.17x = 362.12 × 149.61
  4. Step 4: Simplify right side
    241.17x = 54,176.03
  5. Step 5: Solve for x
    x = 54,176.03/241.17
  6. Step 6: Final answer
    x = 224.64

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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.