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Finding the Fourth Proportional to 297.99, 411.23 and 167.03

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Solution

The fourth proportional to 297.99, 411.23 and 167.03 is: 230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.99 : 411.23 = 167.03 : x
  2. Step 2: Convert to fraction form
    297.99/411.23 = 167.03/x
  3. Step 3: Cross multiply
    297.99x = 411.23 × 167.03
  4. Step 4: Simplify right side
    297.99x = 68,685.69
  5. Step 5: Solve for x
    x = 68,685.69/297.99
  6. Step 6: Final answer
    x = 230.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.