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Finding the Fourth Proportional to 173.32, 239.04 and 126.64

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Solution

The fourth proportional to 173.32, 239.04 and 126.64 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 239.04 = 126.64 : x
  2. Step 2: Convert to fraction form
    173.32/239.04 = 126.64/x
  3. Step 3: Cross multiply
    173.32x = 239.04 × 126.64
  4. Step 4: Simplify right side
    173.32x = 30,272.03
  5. Step 5: Solve for x
    x = 30,272.03/173.32
  6. Step 6: Final answer
    x = 174.66

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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.