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Finding the Fourth Proportional to 192.32, 265.41 and 105.00

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Solution

The fourth proportional to 192.32, 265.41 and 105.00 is: 144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.32 : 265.41 = 105.00 : x
  2. Step 2: Convert to fraction form
    192.32/265.41 = 105.00/x
  3. Step 3: Cross multiply
    192.32x = 265.41 × 105.00
  4. Step 4: Simplify right side
    192.32x = 27,866.20
  5. Step 5: Solve for x
    x = 27,866.20/192.32
  6. Step 6: Final answer
    x = 144.89

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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.