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Finding the Fourth Proportional to 452.48, 678.77 and 163.90

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Solution

The fourth proportional to 452.48, 678.77 and 163.90 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.48 : 678.77 = 163.90 : x
  2. Step 2: Convert to fraction form
    452.48/678.77 = 163.90/x
  3. Step 3: Cross multiply
    452.48x = 678.77 × 163.90
  4. Step 4: Simplify right side
    452.48x = 111,250.40
  5. Step 5: Solve for x
    x = 111,250.40/452.48
  6. Step 6: Final answer
    x = 245.87

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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.