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Finding the Fourth Proportional to 505.86, 758.79 and 181.22

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Solution

The fourth proportional to 505.86, 758.79 and 181.22 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 758.79 = 181.22 : x
  2. Step 2: Convert to fraction form
    505.86/758.79 = 181.22/x
  3. Step 3: Cross multiply
    505.86x = 758.79 × 181.22
  4. Step 4: Simplify right side
    505.86x = 137,504.13
  5. Step 5: Solve for x
    x = 137,504.13/505.86
  6. Step 6: Final answer
    x = 271.83

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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.