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Finding the Fourth Proportional to 159.14, 220.54 and 156.94

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Solution

The fourth proportional to 159.14, 220.54 and 156.94 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 220.54 = 156.94 : x
  2. Step 2: Convert to fraction form
    159.14/220.54 = 156.94/x
  3. Step 3: Cross multiply
    159.14x = 220.54 × 156.94
  4. Step 4: Simplify right side
    159.14x = 34,611.55
  5. Step 5: Solve for x
    x = 34,611.55/159.14
  6. Step 6: Final answer
    x = 217.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.