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Finding the Fourth Proportional to 505.96, 759.07 and 181.33

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Solution

The fourth proportional to 505.96, 759.07 and 181.33 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 759.07 = 181.33 : x
  2. Step 2: Convert to fraction form
    505.96/759.07 = 181.33/x
  3. Step 3: Cross multiply
    505.96x = 759.07 × 181.33
  4. Step 4: Simplify right side
    505.96x = 137,637.91
  5. Step 5: Solve for x
    x = 137,637.91/505.96
  6. Step 6: Final answer
    x = 272.04

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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.