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Finding the Fourth Proportional to 198.51, 274.02 and 132.99

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Solution

The fourth proportional to 198.51, 274.02 and 132.99 is: 183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 274.02 = 132.99 : x
  2. Step 2: Convert to fraction form
    198.51/274.02 = 132.99/x
  3. Step 3: Cross multiply
    198.51x = 274.02 × 132.99
  4. Step 4: Simplify right side
    198.51x = 36,441.92
  5. Step 5: Solve for x
    x = 36,441.92/198.51
  6. Step 6: Final answer
    x = 183.58

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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.