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Finding the Fourth Proportional to 192.26, 264.96 and 184.76

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Solution

The fourth proportional to 192.26, 264.96 and 184.76 is: 254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.26 : 264.96 = 184.76 : x
  2. Step 2: Convert to fraction form
    192.26/264.96 = 184.76/x
  3. Step 3: Cross multiply
    192.26x = 264.96 × 184.76
  4. Step 4: Simplify right side
    192.26x = 48,954.01
  5. Step 5: Solve for x
    x = 48,954.01/192.26
  6. Step 6: Final answer
    x = 254.62

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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.