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Finding the Fourth Proportional to 198.30, 297.54 and 195.06

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Solution

The fourth proportional to 198.30, 297.54 and 195.06 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 297.54 = 195.06 : x
  2. Step 2: Convert to fraction form
    198.30/297.54 = 195.06/x
  3. Step 3: Cross multiply
    198.30x = 297.54 × 195.06
  4. Step 4: Simplify right side
    198.30x = 58,038.15
  5. Step 5: Solve for x
    x = 58,038.15/198.30
  6. Step 6: Final answer
    x = 292.68

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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.