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Finding the Fourth Proportional to 173.91, 241.11 and 164.67

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Solution

The fourth proportional to 173.91, 241.11 and 164.67 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.91 : 241.11 = 164.67 : x
  2. Step 2: Convert to fraction form
    173.91/241.11 = 164.67/x
  3. Step 3: Cross multiply
    173.91x = 241.11 × 164.67
  4. Step 4: Simplify right side
    173.91x = 39,703.58
  5. Step 5: Solve for x
    x = 39,703.58/173.91
  6. Step 6: Final answer
    x = 228.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.