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Finding the Fourth Proportional to 453.07, 679.18 and 164.44

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Solution

The fourth proportional to 453.07, 679.18 and 164.44 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.07 : 679.18 = 164.44 : x
  2. Step 2: Convert to fraction form
    453.07/679.18 = 164.44/x
  3. Step 3: Cross multiply
    453.07x = 679.18 × 164.44
  4. Step 4: Simplify right side
    453.07x = 111,684.36
  5. Step 5: Solve for x
    x = 111,684.36/453.07
  6. Step 6: Final answer
    x = 246.51

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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.