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Finding the Fourth Proportional to 192.93, 287.66 and 182.67

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Solution

The fourth proportional to 192.93, 287.66 and 182.67 is: 272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.93 : 287.66 = 182.67 : x
  2. Step 2: Convert to fraction form
    192.93/287.66 = 182.67/x
  3. Step 3: Cross multiply
    192.93x = 287.66 × 182.67
  4. Step 4: Simplify right side
    192.93x = 52,546.85
  5. Step 5: Solve for x
    x = 52,546.85/192.93
  6. Step 6: Final answer
    x = 272.36

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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.