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Finding the Fourth Proportional to 241.95, 362.00 and 133.82

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Solution

The fourth proportional to 241.95, 362.00 and 133.82 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.95 : 362.00 = 133.82 : x
  2. Step 2: Convert to fraction form
    241.95/362.00 = 133.82/x
  3. Step 3: Cross multiply
    241.95x = 362.00 × 133.82
  4. Step 4: Simplify right side
    241.95x = 48,441.36
  5. Step 5: Solve for x
    x = 48,441.36/241.95
  6. Step 6: Final answer
    x = 200.21

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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.