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Finding the Fourth Proportional to 453.19, 679.87 and 164.56

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Solution

The fourth proportional to 453.19, 679.87 and 164.56 is: 246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.19 : 679.87 = 164.56 : x
  2. Step 2: Convert to fraction form
    453.19/679.87 = 164.56/x
  3. Step 3: Cross multiply
    453.19x = 679.87 × 164.56
  4. Step 4: Simplify right side
    453.19x = 111,879.41
  5. Step 5: Solve for x
    x = 111,879.41/453.19
  6. Step 6: Final answer
    x = 246.87

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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.