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Finding the Fourth Proportional to 192.14, 285.74 and 186.06

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Solution

The fourth proportional to 192.14, 285.74 and 186.06 is: 276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.14 : 285.74 = 186.06 : x
  2. Step 2: Convert to fraction form
    192.14/285.74 = 186.06/x
  3. Step 3: Cross multiply
    192.14x = 285.74 × 186.06
  4. Step 4: Simplify right side
    192.14x = 53,163.85
  5. Step 5: Solve for x
    x = 53,163.85/192.14
  6. Step 6: Final answer
    x = 276.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.