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Finding the Fourth Proportional to 241.80, 360.84 and 205.80

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Solution

The fourth proportional to 241.80, 360.84 and 205.80 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.80 : 360.84 = 205.80 : x
  2. Step 2: Convert to fraction form
    241.80/360.84 = 205.80/x
  3. Step 3: Cross multiply
    241.80x = 360.84 × 205.80
  4. Step 4: Simplify right side
    241.80x = 74,260.87
  5. Step 5: Solve for x
    x = 74,260.87/241.80
  6. Step 6: Final answer
    x = 307.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.