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Finding the Fourth Proportional to 403.82, 605.54 and 198.15

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Solution

The fourth proportional to 403.82, 605.54 and 198.15 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 605.54 = 198.15 : x
  2. Step 2: Convert to fraction form
    403.82/605.54 = 198.15/x
  3. Step 3: Cross multiply
    403.82x = 605.54 × 198.15
  4. Step 4: Simplify right side
    403.82x = 119,986.76
  5. Step 5: Solve for x
    x = 119,986.76/403.82
  6. Step 6: Final answer
    x = 297.13

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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.