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Finding the Fourth Proportional to 361.52, 498.88 and 206.32

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Solution

The fourth proportional to 361.52, 498.88 and 206.32 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.52 : 498.88 = 206.32 : x
  2. Step 2: Convert to fraction form
    361.52/498.88 = 206.32/x
  3. Step 3: Cross multiply
    361.52x = 498.88 × 206.32
  4. Step 4: Simplify right side
    361.52x = 102,928.92
  5. Step 5: Solve for x
    x = 102,928.92/361.52
  6. Step 6: Final answer
    x = 284.71

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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.