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Finding the Fourth Proportional to 298.49, 412.05 and 199.07

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Solution

The fourth proportional to 298.49, 412.05 and 199.07 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 412.05 = 199.07 : x
  2. Step 2: Convert to fraction form
    298.49/412.05 = 199.07/x
  3. Step 3: Cross multiply
    298.49x = 412.05 × 199.07
  4. Step 4: Simplify right side
    298.49x = 82,026.65
  5. Step 5: Solve for x
    x = 82,026.65/298.49
  6. Step 6: Final answer
    x = 274.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.