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Finding the Fourth Proportional to 198.84, 297.98 and 130.26

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Solution

The fourth proportional to 198.84, 297.98 and 130.26 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 297.98 = 130.26 : x
  2. Step 2: Convert to fraction form
    198.84/297.98 = 130.26/x
  3. Step 3: Cross multiply
    198.84x = 297.98 × 130.26
  4. Step 4: Simplify right side
    198.84x = 38,814.87
  5. Step 5: Solve for x
    x = 38,814.87/198.84
  6. Step 6: Final answer
    x = 195.21

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