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Finding the Fourth Proportional to 297.85, 411.03 and 173.50

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Solution

The fourth proportional to 297.85, 411.03 and 173.50 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.85 : 411.03 = 173.50 : x
  2. Step 2: Convert to fraction form
    297.85/411.03 = 173.50/x
  3. Step 3: Cross multiply
    297.85x = 411.03 × 173.50
  4. Step 4: Simplify right side
    297.85x = 71,313.71
  5. Step 5: Solve for x
    x = 71,313.71/297.85
  6. Step 6: Final answer
    x = 239.43

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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.