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Finding the Fourth Proportional to 301.42, 415.97 and 168.67

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Solution

The fourth proportional to 301.42, 415.97 and 168.67 is: 232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.42 : 415.97 = 168.67 : x
  2. Step 2: Convert to fraction form
    301.42/415.97 = 168.67/x
  3. Step 3: Cross multiply
    301.42x = 415.97 × 168.67
  4. Step 4: Simplify right side
    301.42x = 70,161.66
  5. Step 5: Solve for x
    x = 70,161.66/301.42
  6. Step 6: Final answer
    x = 232.77

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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.