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Finding the Fourth Proportional to 506.23, 759.36 and 141.02

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Solution

The fourth proportional to 506.23, 759.36 and 141.02 is: 211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.23 : 759.36 = 141.02 : x
  2. Step 2: Convert to fraction form
    506.23/759.36 = 141.02/x
  3. Step 3: Cross multiply
    506.23x = 759.36 × 141.02
  4. Step 4: Simplify right side
    506.23x = 107,084.53
  5. Step 5: Solve for x
    x = 107,084.53/506.23
  6. Step 6: Final answer
    x = 211.53

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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.