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Finding the Fourth Proportional to 198.10, 296.81 and 172.13

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Solution

The fourth proportional to 198.10, 296.81 and 172.13 is: 257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 296.81 = 172.13 : x
  2. Step 2: Convert to fraction form
    198.10/296.81 = 172.13/x
  3. Step 3: Cross multiply
    198.10x = 296.81 × 172.13
  4. Step 4: Simplify right side
    198.10x = 51,089.17
  5. Step 5: Solve for x
    x = 51,089.17/198.10
  6. Step 6: Final answer
    x = 257.90

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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.