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Finding the Fourth Proportional to 195.02, 269.02 and 161.99

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Solution

The fourth proportional to 195.02, 269.02 and 161.99 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.02 : 269.02 = 161.99 : x
  2. Step 2: Convert to fraction form
    195.02/269.02 = 161.99/x
  3. Step 3: Cross multiply
    195.02x = 269.02 × 161.99
  4. Step 4: Simplify right side
    195.02x = 43,577.95
  5. Step 5: Solve for x
    x = 43,577.95/195.02
  6. Step 6: Final answer
    x = 223.45

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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.