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Finding the Fourth Proportional to 297.36, 410.34 and 166.37

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Solution

The fourth proportional to 297.36, 410.34 and 166.37 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 410.34 = 166.37 : x
  2. Step 2: Convert to fraction form
    297.36/410.34 = 166.37/x
  3. Step 3: Cross multiply
    297.36x = 410.34 × 166.37
  4. Step 4: Simplify right side
    297.36x = 68,266.21
  5. Step 5: Solve for x
    x = 68,266.21/297.36
  6. Step 6: Final answer
    x = 229.57

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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.