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Finding the Fourth Proportional to 199.68, 274.92 and 175.92

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Solution

The fourth proportional to 199.68, 274.92 and 175.92 is: 242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 274.92 = 175.92 : x
  2. Step 2: Convert to fraction form
    199.68/274.92 = 175.92/x
  3. Step 3: Cross multiply
    199.68x = 274.92 × 175.92
  4. Step 4: Simplify right side
    199.68x = 48,363.93
  5. Step 5: Solve for x
    x = 48,363.93/199.68
  6. Step 6: Final answer
    x = 242.21

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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.