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Finding the Fourth Proportional to 190.53, 284.66 and 167.97

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Solution

The fourth proportional to 190.53, 284.66 and 167.97 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.53 : 284.66 = 167.97 : x
  2. Step 2: Convert to fraction form
    190.53/284.66 = 167.97/x
  3. Step 3: Cross multiply
    190.53x = 284.66 × 167.97
  4. Step 4: Simplify right side
    190.53x = 47,814.34
  5. Step 5: Solve for x
    x = 47,814.34/190.53
  6. Step 6: Final answer
    x = 250.95

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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.