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Finding the Fourth Proportional to 307.67, 460.89 and 199.13

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Solution

The fourth proportional to 307.67, 460.89 and 199.13 is: 298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 460.89 = 199.13 : x
  2. Step 2: Convert to fraction form
    307.67/460.89 = 199.13/x
  3. Step 3: Cross multiply
    307.67x = 460.89 × 199.13
  4. Step 4: Simplify right side
    307.67x = 91,774.72
  5. Step 5: Solve for x
    x = 91,774.72/307.67
  6. Step 6: Final answer
    x = 298.29

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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.