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Finding the Fourth Proportional to 506.13, 758.69 and 181.22

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Solution

The fourth proportional to 506.13, 758.69 and 181.22 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 758.69 = 181.22 : x
  2. Step 2: Convert to fraction form
    506.13/758.69 = 181.22/x
  3. Step 3: Cross multiply
    506.13x = 758.69 × 181.22
  4. Step 4: Simplify right side
    506.13x = 137,485.10
  5. Step 5: Solve for x
    x = 137,485.10/506.13
  6. Step 6: Final answer
    x = 271.64

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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.