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Finding the Fourth Proportional to 335.16, 462.37 and 204.15

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Solution

The fourth proportional to 335.16, 462.37 and 204.15 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.16 : 462.37 = 204.15 : x
  2. Step 2: Convert to fraction form
    335.16/462.37 = 204.15/x
  3. Step 3: Cross multiply
    335.16x = 462.37 × 204.15
  4. Step 4: Simplify right side
    335.16x = 94,392.84
  5. Step 5: Solve for x
    x = 94,392.84/335.16
  6. Step 6: Final answer
    x = 281.64

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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.