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Finding the Fourth Proportional to 563.77, 845.20 and 198.81

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Solution

The fourth proportional to 563.77, 845.20 and 198.81 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.77 : 845.20 = 198.81 : x
  2. Step 2: Convert to fraction form
    563.77/845.20 = 198.81/x
  3. Step 3: Cross multiply
    563.77x = 845.20 × 198.81
  4. Step 4: Simplify right side
    563.77x = 168,033.22
  5. Step 5: Solve for x
    x = 168,033.22/563.77
  6. Step 6: Final answer
    x = 298.06

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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.