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Finding the Fourth Proportional to 506.10, 758.96 and 159.36

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Solution

The fourth proportional to 506.10, 758.96 and 159.36 is: 238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 758.96 = 159.36 : x
  2. Step 2: Convert to fraction form
    506.10/758.96 = 159.36/x
  3. Step 3: Cross multiply
    506.10x = 758.96 × 159.36
  4. Step 4: Simplify right side
    506.10x = 120,947.07
  5. Step 5: Solve for x
    x = 120,947.07/506.10
  6. Step 6: Final answer
    x = 238.98

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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.