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Finding the Fourth Proportional to 361.24, 498.47 and 203.86

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Solution

The fourth proportional to 361.24, 498.47 and 203.86 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.24 : 498.47 = 203.86 : x
  2. Step 2: Convert to fraction form
    361.24/498.47 = 203.86/x
  3. Step 3: Cross multiply
    361.24x = 498.47 × 203.86
  4. Step 4: Simplify right side
    361.24x = 101,617.36
  5. Step 5: Solve for x
    x = 101,617.36/361.24
  6. Step 6: Final answer
    x = 281.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.