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Finding the Fourth Proportional to 192.15, 264.69 and 168.84

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Solution

The fourth proportional to 192.15, 264.69 and 168.84 is: 232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.15 : 264.69 = 168.84 : x
  2. Step 2: Convert to fraction form
    192.15/264.69 = 168.84/x
  3. Step 3: Cross multiply
    192.15x = 264.69 × 168.84
  4. Step 4: Simplify right side
    192.15x = 44,690.26
  5. Step 5: Solve for x
    x = 44,690.26/192.15
  6. Step 6: Final answer
    x = 232.58

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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.