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Finding the Fourth Proportional to 361.19, 498.47 and 203.84

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Solution

The fourth proportional to 361.19, 498.47 and 203.84 is: 281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.19 : 498.47 = 203.84 : x
  2. Step 2: Convert to fraction form
    361.19/498.47 = 203.84/x
  3. Step 3: Cross multiply
    361.19x = 498.47 × 203.84
  4. Step 4: Simplify right side
    361.19x = 101,608.35
  5. Step 5: Solve for x
    x = 101,608.35/361.19
  6. Step 6: Final answer
    x = 281.32

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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.