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Finding the Fourth Proportional to 173.25, 237.63 and 165.47

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Solution

The fourth proportional to 173.25, 237.63 and 165.47 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.25 : 237.63 = 165.47 : x
  2. Step 2: Convert to fraction form
    173.25/237.63 = 165.47/x
  3. Step 3: Cross multiply
    173.25x = 237.63 × 165.47
  4. Step 4: Simplify right side
    173.25x = 39,319.45
  5. Step 5: Solve for x
    x = 39,319.45/173.25
  6. Step 6: Final answer
    x = 226.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.