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Finding the Fourth Proportional to 506.33, 759.42 and 159.65

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Solution

The fourth proportional to 506.33, 759.42 and 159.65 is: 239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.33 : 759.42 = 159.65 : x
  2. Step 2: Convert to fraction form
    506.33/759.42 = 159.65/x
  3. Step 3: Cross multiply
    506.33x = 759.42 × 159.65
  4. Step 4: Simplify right side
    506.33x = 121,237.61
  5. Step 5: Solve for x
    x = 121,237.61/506.33
  6. Step 6: Final answer
    x = 239.45

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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.