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Finding the Fourth Proportional to 192.70, 266.26 and 185.78

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Solution

The fourth proportional to 192.70, 266.26 and 185.78 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.70 : 266.26 = 185.78 : x
  2. Step 2: Convert to fraction form
    192.70/266.26 = 185.78/x
  3. Step 3: Cross multiply
    192.70x = 266.26 × 185.78
  4. Step 4: Simplify right side
    192.70x = 49,465.78
  5. Step 5: Solve for x
    x = 49,465.78/192.70
  6. Step 6: Final answer
    x = 256.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.