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Finding the Fourth Proportional to 335.23, 462.06 and 224.66

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Solution

The fourth proportional to 335.23, 462.06 and 224.66 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 462.06 = 224.66 : x
  2. Step 2: Convert to fraction form
    335.23/462.06 = 224.66/x
  3. Step 3: Cross multiply
    335.23x = 462.06 × 224.66
  4. Step 4: Simplify right side
    335.23x = 103,805.28
  5. Step 5: Solve for x
    x = 103,805.28/335.23
  6. Step 6: Final answer
    x = 309.66

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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.