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Finding the Fourth Proportional to 199.72, 298.13 and 186.76

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Solution

The fourth proportional to 199.72, 298.13 and 186.76 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.72 : 298.13 = 186.76 : x
  2. Step 2: Convert to fraction form
    199.72/298.13 = 186.76/x
  3. Step 3: Cross multiply
    199.72x = 298.13 × 186.76
  4. Step 4: Simplify right side
    199.72x = 55,678.76
  5. Step 5: Solve for x
    x = 55,678.76/199.72
  6. Step 6: Final answer
    x = 278.78

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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.