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Finding the Fourth Proportional to 170.81, 256 and 136.43

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Solution

The fourth proportional to 170.81, 256 and 136.43 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.81 : 256 = 136.43 : x
  2. Step 2: Convert to fraction form
    170.81/256 = 136.43/x
  3. Step 3: Cross multiply
    170.81x = 256 × 136.43
  4. Step 4: Simplify right side
    170.81x = 34,926.08
  5. Step 5: Solve for x
    x = 34,926.08/170.81
  6. Step 6: Final answer
    x = 204.47

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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.