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Finding the Fourth Proportional to 456.10, 684.47 and 182.27

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Solution

The fourth proportional to 456.10, 684.47 and 182.27 is: 273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 684.47 = 182.27 : x
  2. Step 2: Convert to fraction form
    456.10/684.47 = 182.27/x
  3. Step 3: Cross multiply
    456.10x = 684.47 × 182.27
  4. Step 4: Simplify right side
    456.10x = 124,754.92
  5. Step 5: Solve for x
    x = 124,754.92/456.10
  6. Step 6: Final answer
    x = 273.53

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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.