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Finding the Fourth Proportional to 200.23, 298.67 and 167.94

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Solution

The fourth proportional to 200.23, 298.67 and 167.94 is: 250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 298.67 = 167.94 : x
  2. Step 2: Convert to fraction form
    200.23/298.67 = 167.94/x
  3. Step 3: Cross multiply
    200.23x = 298.67 × 167.94
  4. Step 4: Simplify right side
    200.23x = 50,157.94
  5. Step 5: Solve for x
    x = 50,157.94/200.23
  6. Step 6: Final answer
    x = 250.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.