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Finding the Fourth Proportional to 506.29, 759.30 and 141.10

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Solution

The fourth proportional to 506.29, 759.30 and 141.10 is: 211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 759.30 = 141.10 : x
  2. Step 2: Convert to fraction form
    506.29/759.30 = 141.10/x
  3. Step 3: Cross multiply
    506.29x = 759.30 × 141.10
  4. Step 4: Simplify right side
    506.29x = 107,137.23
  5. Step 5: Solve for x
    x = 107,137.23/506.29
  6. Step 6: Final answer
    x = 211.61

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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.