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Finding the Fourth Proportional to 241.93, 360.42 and 230.32

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Solution

The fourth proportional to 241.93, 360.42 and 230.32 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.93 : 360.42 = 230.32 : x
  2. Step 2: Convert to fraction form
    241.93/360.42 = 230.32/x
  3. Step 3: Cross multiply
    241.93x = 360.42 × 230.32
  4. Step 4: Simplify right side
    241.93x = 83,011.03
  5. Step 5: Solve for x
    x = 83,011.03/241.93
  6. Step 6: Final answer
    x = 343.12

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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.