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Finding the Fourth Proportional to 192.88, 266.22 and 146.38

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Solution

The fourth proportional to 192.88, 266.22 and 146.38 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.88 : 266.22 = 146.38 : x
  2. Step 2: Convert to fraction form
    192.88/266.22 = 146.38/x
  3. Step 3: Cross multiply
    192.88x = 266.22 × 146.38
  4. Step 4: Simplify right side
    192.88x = 38,969.28
  5. Step 5: Solve for x
    x = 38,969.28/192.88
  6. Step 6: Final answer
    x = 202.04

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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.