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Finding the Fourth Proportional to 159.17, 219.46 and 135.78

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Solution

The fourth proportional to 159.17, 219.46 and 135.78 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.17 : 219.46 = 135.78 : x
  2. Step 2: Convert to fraction form
    159.17/219.46 = 135.78/x
  3. Step 3: Cross multiply
    159.17x = 219.46 × 135.78
  4. Step 4: Simplify right side
    159.17x = 29,797.37
  5. Step 5: Solve for x
    x = 29,797.37/159.17
  6. Step 6: Final answer
    x = 187.21

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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.