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Finding the Fourth Proportional to 198.68, 297.47 and 126.32

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Solution

The fourth proportional to 198.68, 297.47 and 126.32 is: 189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.68 : 297.47 = 126.32 : x
  2. Step 2: Convert to fraction form
    198.68/297.47 = 126.32/x
  3. Step 3: Cross multiply
    198.68x = 297.47 × 126.32
  4. Step 4: Simplify right side
    198.68x = 37,575.24
  5. Step 5: Solve for x
    x = 37,575.24/198.68
  6. Step 6: Final answer
    x = 189.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.