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Finding the Fourth Proportional to 170.70, 255.64 and 136.49

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Solution

The fourth proportional to 170.70, 255.64 and 136.49 is: 204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.70 : 255.64 = 136.49 : x
  2. Step 2: Convert to fraction form
    170.70/255.64 = 136.49/x
  3. Step 3: Cross multiply
    170.70x = 255.64 × 136.49
  4. Step 4: Simplify right side
    170.70x = 34,890.34
  5. Step 5: Solve for x
    x = 34,890.34/170.70
  6. Step 6: Final answer
    x = 204.40

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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.