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Finding the Fourth Proportional to 241.66, 362.31 and 180.46

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Solution

The fourth proportional to 241.66, 362.31 and 180.46 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.66 : 362.31 = 180.46 : x
  2. Step 2: Convert to fraction form
    241.66/362.31 = 180.46/x
  3. Step 3: Cross multiply
    241.66x = 362.31 × 180.46
  4. Step 4: Simplify right side
    241.66x = 65,382.46
  5. Step 5: Solve for x
    x = 65,382.46/241.66
  6. Step 6: Final answer
    x = 270.56

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Why These Related Problems?

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