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Finding the Fourth Proportional to 456.18, 684.34 and 163.70

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Solution

The fourth proportional to 456.18, 684.34 and 163.70 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 684.34 = 163.70 : x
  2. Step 2: Convert to fraction form
    456.18/684.34 = 163.70/x
  3. Step 3: Cross multiply
    456.18x = 684.34 × 163.70
  4. Step 4: Simplify right side
    456.18x = 112,023.24
  5. Step 5: Solve for x
    x = 112,023.24/456.18
  6. Step 6: Final answer
    x = 245.57

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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.