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Finding the Fourth Proportional to 213.56, 319.94 and 170.28

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Solution

The fourth proportional to 213.56, 319.94 and 170.28 is: 255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 319.94 = 170.28 : x
  2. Step 2: Convert to fraction form
    213.56/319.94 = 170.28/x
  3. Step 3: Cross multiply
    213.56x = 319.94 × 170.28
  4. Step 4: Simplify right side
    213.56x = 54,480.13
  5. Step 5: Solve for x
    x = 54,480.13/213.56
  6. Step 6: Final answer
    x = 255.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.