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Finding the Fourth Proportional to 506.31, 759.47 and 164.31

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Solution

The fourth proportional to 506.31, 759.47 and 164.31 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 759.47 = 164.31 : x
  2. Step 2: Convert to fraction form
    506.31/759.47 = 164.31/x
  3. Step 3: Cross multiply
    506.31x = 759.47 × 164.31
  4. Step 4: Simplify right side
    506.31x = 124,788.52
  5. Step 5: Solve for x
    x = 124,788.52/506.31
  6. Step 6: Final answer
    x = 246.47

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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.