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Finding the Fourth Proportional to 506.25, 759.38 and 164.25

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Solution

The fourth proportional to 506.25, 759.38 and 164.25 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 759.38 = 164.25 : x
  2. Step 2: Convert to fraction form
    506.25/759.38 = 164.25/x
  3. Step 3: Cross multiply
    506.25x = 759.38 × 164.25
  4. Step 4: Simplify right side
    506.25x = 124,727.34
  5. Step 5: Solve for x
    x = 124,727.34/506.25
  6. Step 6: Final answer
    x = 246.38

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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.