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Finding the Fourth Proportional to 506.00, 759.07 and 159.22

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Solution

The fourth proportional to 506.00, 759.07 and 159.22 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.00 : 759.07 = 159.22 : x
  2. Step 2: Convert to fraction form
    506.00/759.07 = 159.22/x
  3. Step 3: Cross multiply
    506.00x = 759.07 × 159.22
  4. Step 4: Simplify right side
    506.00x = 120,857.82
  5. Step 5: Solve for x
    x = 120,857.82/506.00
  6. Step 6: Final answer
    x = 238.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.