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Finding the Fourth Proportional to 335.18, 462.64 and 204.26

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Solution

The fourth proportional to 335.18, 462.64 and 204.26 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.18 : 462.64 = 204.26 : x
  2. Step 2: Convert to fraction form
    335.18/462.64 = 204.26/x
  3. Step 3: Cross multiply
    335.18x = 462.64 × 204.26
  4. Step 4: Simplify right side
    335.18x = 94,498.85
  5. Step 5: Solve for x
    x = 94,498.85/335.18
  6. Step 6: Final answer
    x = 281.93

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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.