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Finding the Fourth Proportional to 241.98, 360.49 and 230.37

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Solution

The fourth proportional to 241.98, 360.49 and 230.37 is: 343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.98 : 360.49 = 230.37 : x
  2. Step 2: Convert to fraction form
    241.98/360.49 = 230.37/x
  3. Step 3: Cross multiply
    241.98x = 360.49 × 230.37
  4. Step 4: Simplify right side
    241.98x = 83,046.08
  5. Step 5: Solve for x
    x = 83,046.08/241.98
  6. Step 6: Final answer
    x = 343.19

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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.