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Finding the Fourth Proportional to 456.46, 684.78 and 167.86

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Solution

The fourth proportional to 456.46, 684.78 and 167.86 is: 251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.46 : 684.78 = 167.86 : x
  2. Step 2: Convert to fraction form
    456.46/684.78 = 167.86/x
  3. Step 3: Cross multiply
    456.46x = 684.78 × 167.86
  4. Step 4: Simplify right side
    456.46x = 114,947.17
  5. Step 5: Solve for x
    x = 114,947.17/456.46
  6. Step 6: Final answer
    x = 251.82

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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.