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Finding the Fourth Proportional to 199.80, 298.67 and 194.94

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Solution

The fourth proportional to 199.80, 298.67 and 194.94 is: 291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 298.67 = 194.94 : x
  2. Step 2: Convert to fraction form
    199.80/298.67 = 194.94/x
  3. Step 3: Cross multiply
    199.80x = 298.67 × 194.94
  4. Step 4: Simplify right side
    199.80x = 58,221.76
  5. Step 5: Solve for x
    x = 58,221.76/199.80
  6. Step 6: Final answer
    x = 291.40

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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.