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Finding the Fourth Proportional to 192.66, 265.74 and 118.96

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Solution

The fourth proportional to 192.66, 265.74 and 118.96 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 265.74 = 118.96 : x
  2. Step 2: Convert to fraction form
    192.66/265.74 = 118.96/x
  3. Step 3: Cross multiply
    192.66x = 265.74 × 118.96
  4. Step 4: Simplify right side
    192.66x = 31,612.43
  5. Step 5: Solve for x
    x = 31,612.43/192.66
  6. Step 6: Final answer
    x = 164.08

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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.