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Finding the Fourth Proportional to 155.70, 213.33 and 154.29

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Solution

The fourth proportional to 155.70, 213.33 and 154.29 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.70 : 213.33 = 154.29 : x
  2. Step 2: Convert to fraction form
    155.70/213.33 = 154.29/x
  3. Step 3: Cross multiply
    155.70x = 213.33 × 154.29
  4. Step 4: Simplify right side
    155.70x = 32,914.69
  5. Step 5: Solve for x
    x = 32,914.69/155.70
  6. Step 6: Final answer
    x = 211.40

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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.