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Finding the Fourth Proportional to 415.40, 623.16 and 198.80

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Solution

The fourth proportional to 415.40, 623.16 and 198.80 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 623.16 = 198.80 : x
  2. Step 2: Convert to fraction form
    415.40/623.16 = 198.80/x
  3. Step 3: Cross multiply
    415.40x = 623.16 × 198.80
  4. Step 4: Simplify right side
    415.40x = 123,884.21
  5. Step 5: Solve for x
    x = 123,884.21/415.40
  6. Step 6: Final answer
    x = 298.23

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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.