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Finding the Fourth Proportional to 563.25, 845.10 and 198.08

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Solution

The fourth proportional to 563.25, 845.10 and 198.08 is: 297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 845.10 = 198.08 : x
  2. Step 2: Convert to fraction form
    563.25/845.10 = 198.08/x
  3. Step 3: Cross multiply
    563.25x = 845.10 × 198.08
  4. Step 4: Simplify right side
    563.25x = 167,396.35
  5. Step 5: Solve for x
    x = 167,396.35/563.25
  6. Step 6: Final answer
    x = 297.20

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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.