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Finding the Fourth Proportional to 195.75, 269.64 and 186.03

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Solution

The fourth proportional to 195.75, 269.64 and 186.03 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 269.64 = 186.03 : x
  2. Step 2: Convert to fraction form
    195.75/269.64 = 186.03/x
  3. Step 3: Cross multiply
    195.75x = 269.64 × 186.03
  4. Step 4: Simplify right side
    195.75x = 50,161.13
  5. Step 5: Solve for x
    x = 50,161.13/195.75
  6. Step 6: Final answer
    x = 256.25

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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.