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Finding the Fourth Proportional to 241.79, 362.19 and 149.12

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Solution

The fourth proportional to 241.79, 362.19 and 149.12 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.79 : 362.19 = 149.12 : x
  2. Step 2: Convert to fraction form
    241.79/362.19 = 149.12/x
  3. Step 3: Cross multiply
    241.79x = 362.19 × 149.12
  4. Step 4: Simplify right side
    241.79x = 54,009.77
  5. Step 5: Solve for x
    x = 54,009.77/241.79
  6. Step 6: Final answer
    x = 223.37

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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.