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Finding the Fourth Proportional to 241.61, 362.07 and 180.59

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Solution

The fourth proportional to 241.61, 362.07 and 180.59 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.61 : 362.07 = 180.59 : x
  2. Step 2: Convert to fraction form
    241.61/362.07 = 180.59/x
  3. Step 3: Cross multiply
    241.61x = 362.07 × 180.59
  4. Step 4: Simplify right side
    241.61x = 65,384.41
  5. Step 5: Solve for x
    x = 65,384.41/241.61
  6. Step 6: Final answer
    x = 270.63

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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.