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Finding the Fourth Proportional to 173.64, 239.70 and 165.90

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Solution

The fourth proportional to 173.64, 239.70 and 165.90 is: 229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.64 : 239.70 = 165.90 : x
  2. Step 2: Convert to fraction form
    173.64/239.70 = 165.90/x
  3. Step 3: Cross multiply
    173.64x = 239.70 × 165.90
  4. Step 4: Simplify right side
    173.64x = 39,766.23
  5. Step 5: Solve for x
    x = 39,766.23/173.64
  6. Step 6: Final answer
    x = 229.02

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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.