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Finding the Fourth Proportional to 173.48, 239.22 and 115.16

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Solution

The fourth proportional to 173.48, 239.22 and 115.16 is: 158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.48 : 239.22 = 115.16 : x
  2. Step 2: Convert to fraction form
    173.48/239.22 = 115.16/x
  3. Step 3: Cross multiply
    173.48x = 239.22 × 115.16
  4. Step 4: Simplify right side
    173.48x = 27,548.58
  5. Step 5: Solve for x
    x = 27,548.58/173.48
  6. Step 6: Final answer
    x = 158.80

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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.