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Finding the Fourth Proportional to 190.10, 286.17 and 170.25

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Solution

The fourth proportional to 190.10, 286.17 and 170.25 is: 256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.10 : 286.17 = 170.25 : x
  2. Step 2: Convert to fraction form
    190.10/286.17 = 170.25/x
  3. Step 3: Cross multiply
    190.10x = 286.17 × 170.25
  4. Step 4: Simplify right side
    190.10x = 48,720.44
  5. Step 5: Solve for x
    x = 48,720.44/190.10
  6. Step 6: Final answer
    x = 256.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.