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Finding the Fourth Proportional to 198.28, 295.25 and 190

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Solution

The fourth proportional to 198.28, 295.25 and 190 is: 282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 295.25 = 190 : x
  2. Step 2: Convert to fraction form
    198.28/295.25 = 190/x
  3. Step 3: Cross multiply
    198.28x = 295.25 × 190
  4. Step 4: Simplify right side
    198.28x = 56,097.50
  5. Step 5: Solve for x
    x = 56,097.50/198.28
  6. Step 6: Final answer
    x = 282.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.