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Finding the Fourth Proportional to 241.14, 359.24 and 232.43

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Solution

The fourth proportional to 241.14, 359.24 and 232.43 is: 346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.14 : 359.24 = 232.43 : x
  2. Step 2: Convert to fraction form
    241.14/359.24 = 232.43/x
  3. Step 3: Cross multiply
    241.14x = 359.24 × 232.43
  4. Step 4: Simplify right side
    241.14x = 83,496.99
  5. Step 5: Solve for x
    x = 83,496.99/241.14
  6. Step 6: Final answer
    x = 346.26

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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.