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Finding the Fourth Proportional to 505.86, 758.91 and 159.21

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Solution

The fourth proportional to 505.86, 758.91 and 159.21 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 758.91 = 159.21 : x
  2. Step 2: Convert to fraction form
    505.86/758.91 = 159.21/x
  3. Step 3: Cross multiply
    505.86x = 758.91 × 159.21
  4. Step 4: Simplify right side
    505.86x = 120,826.06
  5. Step 5: Solve for x
    x = 120,826.06/505.86
  6. Step 6: Final answer
    x = 238.85

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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.