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Finding the Fourth Proportional to 192.66, 265.87 and 105.33

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Solution

The fourth proportional to 192.66, 265.87 and 105.33 is: 145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 265.87 = 105.33 : x
  2. Step 2: Convert to fraction form
    192.66/265.87 = 105.33/x
  3. Step 3: Cross multiply
    192.66x = 265.87 × 105.33
  4. Step 4: Simplify right side
    192.66x = 28,005.22
  5. Step 5: Solve for x
    x = 28,005.22/192.66
  6. Step 6: Final answer
    x = 145.36

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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.