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Finding the Fourth Proportional to 361.61, 541.93 and 196.88

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Solution

The fourth proportional to 361.61, 541.93 and 196.88 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.61 : 541.93 = 196.88 : x
  2. Step 2: Convert to fraction form
    361.61/541.93 = 196.88/x
  3. Step 3: Cross multiply
    361.61x = 541.93 × 196.88
  4. Step 4: Simplify right side
    361.61x = 106,695.18
  5. Step 5: Solve for x
    x = 106,695.18/361.61
  6. Step 6: Final answer
    x = 295.06

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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.