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Finding the Fourth Proportional to 361.15, 498.43 and 203.79

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Solution

The fourth proportional to 361.15, 498.43 and 203.79 is: 281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.15 : 498.43 = 203.79 : x
  2. Step 2: Convert to fraction form
    361.15/498.43 = 203.79/x
  3. Step 3: Cross multiply
    361.15x = 498.43 × 203.79
  4. Step 4: Simplify right side
    361.15x = 101,575.05
  5. Step 5: Solve for x
    x = 101,575.05/361.15
  6. Step 6: Final answer
    x = 281.25

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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.