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Finding the Fourth Proportional to 334.91, 462.06 and 203.87

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Solution

The fourth proportional to 334.91, 462.06 and 203.87 is: 281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.91 : 462.06 = 203.87 : x
  2. Step 2: Convert to fraction form
    334.91/462.06 = 203.87/x
  3. Step 3: Cross multiply
    334.91x = 462.06 × 203.87
  4. Step 4: Simplify right side
    334.91x = 94,197.86
  5. Step 5: Solve for x
    x = 94,197.86/334.91
  6. Step 6: Final answer
    x = 281.27

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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.