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Finding the Fourth Proportional to 241.30, 362.40 and 204.94

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Solution

The fourth proportional to 241.30, 362.40 and 204.94 is: 307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.30 : 362.40 = 204.94 : x
  2. Step 2: Convert to fraction form
    241.30/362.40 = 204.94/x
  3. Step 3: Cross multiply
    241.30x = 362.40 × 204.94
  4. Step 4: Simplify right side
    241.30x = 74,270.26
  5. Step 5: Solve for x
    x = 74,270.26/241.30
  6. Step 6: Final answer
    x = 307.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.