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Finding the Fourth Proportional to 247.68, 341.64 and 198.67

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Solution

The fourth proportional to 247.68, 341.64 and 198.67 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.68 : 341.64 = 198.67 : x
  2. Step 2: Convert to fraction form
    247.68/341.64 = 198.67/x
  3. Step 3: Cross multiply
    247.68x = 341.64 × 198.67
  4. Step 4: Simplify right side
    247.68x = 67,872.63
  5. Step 5: Solve for x
    x = 67,872.63/247.68
  6. Step 6: Final answer
    x = 274.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.