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Finding the Fourth Proportional to 173.90, 240.41 and 166.50

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Solution

The fourth proportional to 173.90, 240.41 and 166.50 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 240.41 = 166.50 : x
  2. Step 2: Convert to fraction form
    173.90/240.41 = 166.50/x
  3. Step 3: Cross multiply
    173.90x = 240.41 × 166.50
  4. Step 4: Simplify right side
    173.90x = 40,028.68
  5. Step 5: Solve for x
    x = 40,028.68/173.90
  6. Step 6: Final answer
    x = 230.18

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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.