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Finding the Fourth Proportional to 167.50, 230.83 and 154.43

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Solution

The fourth proportional to 167.50, 230.83 and 154.43 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.50 : 230.83 = 154.43 : x
  2. Step 2: Convert to fraction form
    167.50/230.83 = 154.43/x
  3. Step 3: Cross multiply
    167.50x = 230.83 × 154.43
  4. Step 4: Simplify right side
    167.50x = 35,647.08
  5. Step 5: Solve for x
    x = 35,647.08/167.50
  6. Step 6: Final answer
    x = 212.82

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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.