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Finding the Fourth Proportional to 192.17, 264.53 and 166.03

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Solution

The fourth proportional to 192.17, 264.53 and 166.03 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 264.53 = 166.03 : x
  2. Step 2: Convert to fraction form
    192.17/264.53 = 166.03/x
  3. Step 3: Cross multiply
    192.17x = 264.53 × 166.03
  4. Step 4: Simplify right side
    192.17x = 43,919.92
  5. Step 5: Solve for x
    x = 43,919.92/192.17
  6. Step 6: Final answer
    x = 228.55

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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.