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Finding the Fourth Proportional to 297.50, 410.64 and 173.25

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Solution

The fourth proportional to 297.50, 410.64 and 173.25 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 410.64 = 173.25 : x
  2. Step 2: Convert to fraction form
    297.50/410.64 = 173.25/x
  3. Step 3: Cross multiply
    297.50x = 410.64 × 173.25
  4. Step 4: Simplify right side
    297.50x = 71,143.38
  5. Step 5: Solve for x
    x = 71,143.38/297.50
  6. Step 6: Final answer
    x = 239.14

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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.