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Finding the Fourth Proportional to 298.64, 412.27 and 199.22

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Solution

The fourth proportional to 298.64, 412.27 and 199.22 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 412.27 = 199.22 : x
  2. Step 2: Convert to fraction form
    298.64/412.27 = 199.22/x
  3. Step 3: Cross multiply
    298.64x = 412.27 × 199.22
  4. Step 4: Simplify right side
    298.64x = 82,133.61
  5. Step 5: Solve for x
    x = 82,133.61/298.64
  6. Step 6: Final answer
    x = 275.02

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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.