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Finding the Fourth Proportional to 305.85, 458.97 and 161.67

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Solution

The fourth proportional to 305.85, 458.97 and 161.67 is: 242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 458.97 = 161.67 : x
  2. Step 2: Convert to fraction form
    305.85/458.97 = 161.67/x
  3. Step 3: Cross multiply
    305.85x = 458.97 × 161.67
  4. Step 4: Simplify right side
    305.85x = 74,201.68
  5. Step 5: Solve for x
    x = 74,201.68/305.85
  6. Step 6: Final answer
    x = 242.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.