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Finding the Fourth Proportional to 335.82, 503.80 and 181.86

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Solution

The fourth proportional to 335.82, 503.80 and 181.86 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 503.80 = 181.86 : x
  2. Step 2: Convert to fraction form
    335.82/503.80 = 181.86/x
  3. Step 3: Cross multiply
    335.82x = 503.80 × 181.86
  4. Step 4: Simplify right side
    335.82x = 91,621.07
  5. Step 5: Solve for x
    x = 91,621.07/335.82
  6. Step 6: Final answer
    x = 272.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.