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Finding the Fourth Proportional to 241.70, 360.79 and 224.82

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Solution

The fourth proportional to 241.70, 360.79 and 224.82 is: 335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.70 : 360.79 = 224.82 : x
  2. Step 2: Convert to fraction form
    241.70/360.79 = 224.82/x
  3. Step 3: Cross multiply
    241.70x = 360.79 × 224.82
  4. Step 4: Simplify right side
    241.70x = 81,112.81
  5. Step 5: Solve for x
    x = 81,112.81/241.70
  6. Step 6: Final answer
    x = 335.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.