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Finding the Fourth Proportional to 173.75, 259.35 and 161.06

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Solution

The fourth proportional to 173.75, 259.35 and 161.06 is: 240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.75 : 259.35 = 161.06 : x
  2. Step 2: Convert to fraction form
    173.75/259.35 = 161.06/x
  3. Step 3: Cross multiply
    173.75x = 259.35 × 161.06
  4. Step 4: Simplify right side
    173.75x = 41,769.61
  5. Step 5: Solve for x
    x = 41,769.61/173.75
  6. Step 6: Final answer
    x = 240.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.