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Finding the Fourth Proportional to 192.04, 265.08 and 142.96

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Solution

The fourth proportional to 192.04, 265.08 and 142.96 is: 197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 265.08 = 142.96 : x
  2. Step 2: Convert to fraction form
    192.04/265.08 = 142.96/x
  3. Step 3: Cross multiply
    192.04x = 265.08 × 142.96
  4. Step 4: Simplify right side
    192.04x = 37,895.84
  5. Step 5: Solve for x
    x = 37,895.84/192.04
  6. Step 6: Final answer
    x = 197.33

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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.