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Finding the Fourth Proportional to 403.66, 605.16 and 198.10

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Solution

The fourth proportional to 403.66, 605.16 and 198.10 is: 296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.66 : 605.16 = 198.10 : x
  2. Step 2: Convert to fraction form
    403.66/605.16 = 198.10/x
  3. Step 3: Cross multiply
    403.66x = 605.16 × 198.10
  4. Step 4: Simplify right side
    403.66x = 119,882.20
  5. Step 5: Solve for x
    x = 119,882.20/403.66
  6. Step 6: Final answer
    x = 296.99

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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.