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Finding the Fourth Proportional to 241.24, 359.93 and 200.92

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Solution

The fourth proportional to 241.24, 359.93 and 200.92 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.24 : 359.93 = 200.92 : x
  2. Step 2: Convert to fraction form
    241.24/359.93 = 200.92/x
  3. Step 3: Cross multiply
    241.24x = 359.93 × 200.92
  4. Step 4: Simplify right side
    241.24x = 72,317.14
  5. Step 5: Solve for x
    x = 72,317.14/241.24
  6. Step 6: Final answer
    x = 299.77

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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.