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Finding the Fourth Proportional to 298.81, 412.01 and 224.22

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Solution

The fourth proportional to 298.81, 412.01 and 224.22 is: 309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.81 : 412.01 = 224.22 : x
  2. Step 2: Convert to fraction form
    298.81/412.01 = 224.22/x
  3. Step 3: Cross multiply
    298.81x = 412.01 × 224.22
  4. Step 4: Simplify right side
    298.81x = 92,380.46
  5. Step 5: Solve for x
    x = 92,380.46/298.81
  6. Step 6: Final answer
    x = 309.16

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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.