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Finding the Fourth Proportional to 198.32, 299.24 and 198.32

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Solution

The fourth proportional to 198.32, 299.24 and 198.32 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 299.24 = 198.32 : x
  2. Step 2: Convert to fraction form
    198.32/299.24 = 198.32/x
  3. Step 3: Cross multiply
    198.32x = 299.24 × 198.32
  4. Step 4: Simplify right side
    198.32x = 59,345.28
  5. Step 5: Solve for x
    x = 59,345.28/198.32
  6. Step 6: Final answer
    x = 299.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.