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Finding the Fourth Proportional to 452.18, 677.91 and 195.86

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Solution

The fourth proportional to 452.18, 677.91 and 195.86 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.18 : 677.91 = 195.86 : x
  2. Step 2: Convert to fraction form
    452.18/677.91 = 195.86/x
  3. Step 3: Cross multiply
    452.18x = 677.91 × 195.86
  4. Step 4: Simplify right side
    452.18x = 132,775.45
  5. Step 5: Solve for x
    x = 132,775.45/452.18
  6. Step 6: Final answer
    x = 293.63

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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.