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Finding the Fourth Proportional to 445.23, 667.93 and 198.53

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Solution

The fourth proportional to 445.23, 667.93 and 198.53 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.23 : 667.93 = 198.53 : x
  2. Step 2: Convert to fraction form
    445.23/667.93 = 198.53/x
  3. Step 3: Cross multiply
    445.23x = 667.93 × 198.53
  4. Step 4: Simplify right side
    445.23x = 132,600.31
  5. Step 5: Solve for x
    x = 132,600.31/445.23
  6. Step 6: Final answer
    x = 297.82

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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.