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Finding the Fourth Proportional to 159.50, 219.84 and 131.78

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Solution

The fourth proportional to 159.50, 219.84 and 131.78 is: 181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 219.84 = 131.78 : x
  2. Step 2: Convert to fraction form
    159.50/219.84 = 131.78/x
  3. Step 3: Cross multiply
    159.50x = 219.84 × 131.78
  4. Step 4: Simplify right side
    159.50x = 28,970.52
  5. Step 5: Solve for x
    x = 28,970.52/159.50
  6. Step 6: Final answer
    x = 181.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.