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Finding the Fourth Proportional to 198.81, 274.47 and 155.49

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Solution

The fourth proportional to 198.81, 274.47 and 155.49 is: 214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.81 : 274.47 = 155.49 : x
  2. Step 2: Convert to fraction form
    198.81/274.47 = 155.49/x
  3. Step 3: Cross multiply
    198.81x = 274.47 × 155.49
  4. Step 4: Simplify right side
    198.81x = 42,677.34
  5. Step 5: Solve for x
    x = 42,677.34/198.81
  6. Step 6: Final answer
    x = 214.66

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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.