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Finding the Fourth Proportional to 192.80, 266.06 and 105.47

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Solution

The fourth proportional to 192.80, 266.06 and 105.47 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 266.06 = 105.47 : x
  2. Step 2: Convert to fraction form
    192.80/266.06 = 105.47/x
  3. Step 3: Cross multiply
    192.80x = 266.06 × 105.47
  4. Step 4: Simplify right side
    192.80x = 28,059.49
  5. Step 5: Solve for x
    x = 28,059.49/192.80
  6. Step 6: Final answer
    x = 145.54

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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.