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Finding the Fourth Proportional to 456.35, 684.52 and 167.78

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Solution

The fourth proportional to 456.35, 684.52 and 167.78 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.35 : 684.52 = 167.78 : x
  2. Step 2: Convert to fraction form
    456.35/684.52 = 167.78/x
  3. Step 3: Cross multiply
    456.35x = 684.52 × 167.78
  4. Step 4: Simplify right side
    456.35x = 114,850.06
  5. Step 5: Solve for x
    x = 114,850.06/456.35
  6. Step 6: Final answer
    x = 251.67

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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.