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Finding the Fourth Proportional to 452.31, 677.97 and 163.68

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Solution

The fourth proportional to 452.31, 677.97 and 163.68 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 677.97 = 163.68 : x
  2. Step 2: Convert to fraction form
    452.31/677.97 = 163.68/x
  3. Step 3: Cross multiply
    452.31x = 677.97 × 163.68
  4. Step 4: Simplify right side
    452.31x = 110,970.13
  5. Step 5: Solve for x
    x = 110,970.13/452.31
  6. Step 6: Final answer
    x = 245.34

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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.