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Finding the Fourth Proportional to 335.21, 462.59 and 185.83

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Solution

The fourth proportional to 335.21, 462.59 and 185.83 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.21 : 462.59 = 185.83 : x
  2. Step 2: Convert to fraction form
    335.21/462.59 = 185.83/x
  3. Step 3: Cross multiply
    335.21x = 462.59 × 185.83
  4. Step 4: Simplify right side
    335.21x = 85,959.86
  5. Step 5: Solve for x
    x = 85,959.86/335.21
  6. Step 6: Final answer
    x = 256.44

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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.