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Finding the Fourth Proportional to 155.96, 213.83 and 154.52

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Solution

The fourth proportional to 155.96, 213.83 and 154.52 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 213.83 = 154.52 : x
  2. Step 2: Convert to fraction form
    155.96/213.83 = 154.52/x
  3. Step 3: Cross multiply
    155.96x = 213.83 × 154.52
  4. Step 4: Simplify right side
    155.96x = 33,041.01
  5. Step 5: Solve for x
    x = 33,041.01/155.96
  6. Step 6: Final answer
    x = 211.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.