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Finding the Fourth Proportional to 297.37, 410.34 and 173.02

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Solution

The fourth proportional to 297.37, 410.34 and 173.02 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.37 : 410.34 = 173.02 : x
  2. Step 2: Convert to fraction form
    297.37/410.34 = 173.02/x
  3. Step 3: Cross multiply
    297.37x = 410.34 × 173.02
  4. Step 4: Simplify right side
    297.37x = 70,997.03
  5. Step 5: Solve for x
    x = 70,997.03/297.37
  6. Step 6: Final answer
    x = 238.75

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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.