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Finding the Fourth Proportional to 456.12, 684.24 and 163.57

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Solution

The fourth proportional to 456.12, 684.24 and 163.57 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 684.24 = 163.57 : x
  2. Step 2: Convert to fraction form
    456.12/684.24 = 163.57/x
  3. Step 3: Cross multiply
    456.12x = 684.24 × 163.57
  4. Step 4: Simplify right side
    456.12x = 111,916.90
  5. Step 5: Solve for x
    x = 111,916.90/456.12
  6. Step 6: Final answer
    x = 245.37

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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.