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Finding the Fourth Proportional to 199.29, 296.99 and 193.71

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Solution

The fourth proportional to 199.29, 296.99 and 193.71 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 296.99 = 193.71 : x
  2. Step 2: Convert to fraction form
    199.29/296.99 = 193.71/x
  3. Step 3: Cross multiply
    199.29x = 296.99 × 193.71
  4. Step 4: Simplify right side
    199.29x = 57,528.96
  5. Step 5: Solve for x
    x = 57,528.96/199.29
  6. Step 6: Final answer
    x = 288.67

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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.