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Finding the Fourth Proportional to 506.19, 759.64 and 181.57

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Solution

The fourth proportional to 506.19, 759.64 and 181.57 is: 272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 759.64 = 181.57 : x
  2. Step 2: Convert to fraction form
    506.19/759.64 = 181.57/x
  3. Step 3: Cross multiply
    506.19x = 759.64 × 181.57
  4. Step 4: Simplify right side
    506.19x = 137,923.13
  5. Step 5: Solve for x
    x = 137,923.13/506.19
  6. Step 6: Final answer
    x = 272.47

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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.