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Finding the Fourth Proportional to 198.90, 297.72 and 130.26

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Solution

The fourth proportional to 198.90, 297.72 and 130.26 is: 194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 297.72 = 130.26 : x
  2. Step 2: Convert to fraction form
    198.90/297.72 = 130.26/x
  3. Step 3: Cross multiply
    198.90x = 297.72 × 130.26
  4. Step 4: Simplify right side
    198.90x = 38,781.01
  5. Step 5: Solve for x
    x = 38,781.01/198.90
  6. Step 6: Final answer
    x = 194.98

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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.