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Finding the Fourth Proportional to 173.94, 240.13 and 115.75

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Solution

The fourth proportional to 173.94, 240.13 and 115.75 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.94 : 240.13 = 115.75 : x
  2. Step 2: Convert to fraction form
    173.94/240.13 = 115.75/x
  3. Step 3: Cross multiply
    173.94x = 240.13 × 115.75
  4. Step 4: Simplify right side
    173.94x = 27,795.05
  5. Step 5: Solve for x
    x = 27,795.05/173.94
  6. Step 6: Final answer
    x = 159.80

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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.