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Finding the Fourth Proportional to 241.24, 360.12 and 204.80

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Solution

The fourth proportional to 241.24, 360.12 and 204.80 is: 305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.24 : 360.12 = 204.80 : x
  2. Step 2: Convert to fraction form
    241.24/360.12 = 204.80/x
  3. Step 3: Cross multiply
    241.24x = 360.12 × 204.80
  4. Step 4: Simplify right side
    241.24x = 73,752.58
  5. Step 5: Solve for x
    x = 73,752.58/241.24
  6. Step 6: Final answer
    x = 305.72

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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.