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Finding the Fourth Proportional to 361.32, 498.50 and 205.96

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Solution

The fourth proportional to 361.32, 498.50 and 205.96 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.32 : 498.50 = 205.96 : x
  2. Step 2: Convert to fraction form
    361.32/498.50 = 205.96/x
  3. Step 3: Cross multiply
    361.32x = 498.50 × 205.96
  4. Step 4: Simplify right side
    361.32x = 102,671.06
  5. Step 5: Solve for x
    x = 102,671.06/361.32
  6. Step 6: Final answer
    x = 284.16

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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.