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Finding the Fourth Proportional to 361.08, 498.24 and 203.72

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Solution

The fourth proportional to 361.08, 498.24 and 203.72 is: 281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.08 : 498.24 = 203.72 : x
  2. Step 2: Convert to fraction form
    361.08/498.24 = 203.72/x
  3. Step 3: Cross multiply
    361.08x = 498.24 × 203.72
  4. Step 4: Simplify right side
    361.08x = 101,501.45
  5. Step 5: Solve for x
    x = 101,501.45/361.08
  6. Step 6: Final answer
    x = 281.11

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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.