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Finding the Fourth Proportional to 298.92, 412.08 and 225.12

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Solution

The fourth proportional to 298.92, 412.08 and 225.12 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.92 : 412.08 = 225.12 : x
  2. Step 2: Convert to fraction form
    298.92/412.08 = 225.12/x
  3. Step 3: Cross multiply
    298.92x = 412.08 × 225.12
  4. Step 4: Simplify right side
    298.92x = 92,767.45
  5. Step 5: Solve for x
    x = 92,767.45/298.92
  6. Step 6: Final answer
    x = 310.34

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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.