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Finding the Fourth Proportional to 222.54, 306.75 and 195

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Solution

The fourth proportional to 222.54, 306.75 and 195 is: 268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 306.75 = 195 : x
  2. Step 2: Convert to fraction form
    222.54/306.75 = 195/x
  3. Step 3: Cross multiply
    222.54x = 306.75 × 195
  4. Step 4: Simplify right side
    222.54x = 59,816.25
  5. Step 5: Solve for x
    x = 59,816.25/222.54
  6. Step 6: Final answer
    x = 268.79

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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.