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Finding the Fourth Proportional to 456.86, 684.74 and 167.96

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Solution

The fourth proportional to 456.86, 684.74 and 167.96 is: 251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 684.74 = 167.96 : x
  2. Step 2: Convert to fraction form
    456.86/684.74 = 167.96/x
  3. Step 3: Cross multiply
    456.86x = 684.74 × 167.96
  4. Step 4: Simplify right side
    456.86x = 115,005.93
  5. Step 5: Solve for x
    x = 115,005.93/456.86
  6. Step 6: Final answer
    x = 251.73

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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.