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Finding the Fourth Proportional to 195.66, 268.02 and 193.50

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Solution

The fourth proportional to 195.66, 268.02 and 193.50 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 268.02 = 193.50 : x
  2. Step 2: Convert to fraction form
    195.66/268.02 = 193.50/x
  3. Step 3: Cross multiply
    195.66x = 268.02 × 193.50
  4. Step 4: Simplify right side
    195.66x = 51,861.87
  5. Step 5: Solve for x
    x = 51,861.87/195.66
  6. Step 6: Final answer
    x = 265.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.