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Finding the Fourth Proportional to 506.50, 759.75 and 164.50

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Solution

The fourth proportional to 506.50, 759.75 and 164.50 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.50 : 759.75 = 164.50 : x
  2. Step 2: Convert to fraction form
    506.50/759.75 = 164.50/x
  3. Step 3: Cross multiply
    506.50x = 759.75 × 164.50
  4. Step 4: Simplify right side
    506.50x = 124,978.88
  5. Step 5: Solve for x
    x = 124,978.88/506.50
  6. Step 6: Final answer
    x = 246.75

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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.