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Finding the Fourth Proportional to 159.40, 219.78 and 155.80

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Solution

The fourth proportional to 159.40, 219.78 and 155.80 is: 214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.40 : 219.78 = 155.80 : x
  2. Step 2: Convert to fraction form
    159.40/219.78 = 155.80/x
  3. Step 3: Cross multiply
    159.40x = 219.78 × 155.80
  4. Step 4: Simplify right side
    159.40x = 34,241.72
  5. Step 5: Solve for x
    x = 34,241.72/159.40
  6. Step 6: Final answer
    x = 214.82

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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.