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Finding the Fourth Proportional to 456.47, 684.45 and 163.86

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Solution

The fourth proportional to 456.47, 684.45 and 163.86 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 684.45 = 163.86 : x
  2. Step 2: Convert to fraction form
    456.47/684.45 = 163.86/x
  3. Step 3: Cross multiply
    456.47x = 684.45 × 163.86
  4. Step 4: Simplify right side
    456.47x = 112,151.41
  5. Step 5: Solve for x
    x = 112,151.41/456.47
  6. Step 6: Final answer
    x = 245.69

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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.