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Finding the Fourth Proportional to 361.07, 498.30 and 203.76

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Solution

The fourth proportional to 361.07, 498.30 and 203.76 is: 281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.07 : 498.30 = 203.76 : x
  2. Step 2: Convert to fraction form
    361.07/498.30 = 203.76/x
  3. Step 3: Cross multiply
    361.07x = 498.30 × 203.76
  4. Step 4: Simplify right side
    361.07x = 101,533.61
  5. Step 5: Solve for x
    x = 101,533.61/361.07
  6. Step 6: Final answer
    x = 281.20

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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.