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Finding the Fourth Proportional to 298.04, 410.96 and 224.22

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Solution

The fourth proportional to 298.04, 410.96 and 224.22 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.04 : 410.96 = 224.22 : x
  2. Step 2: Convert to fraction form
    298.04/410.96 = 224.22/x
  3. Step 3: Cross multiply
    298.04x = 410.96 × 224.22
  4. Step 4: Simplify right side
    298.04x = 92,146.01
  5. Step 5: Solve for x
    x = 92,146.01/298.04
  6. Step 6: Final answer
    x = 309.17

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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.