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Finding the Fourth Proportional to 195.63, 270.19 and 133.35

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Solution

The fourth proportional to 195.63, 270.19 and 133.35 is: 184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.63 : 270.19 = 133.35 : x
  2. Step 2: Convert to fraction form
    195.63/270.19 = 133.35/x
  3. Step 3: Cross multiply
    195.63x = 270.19 × 133.35
  4. Step 4: Simplify right side
    195.63x = 36,029.84
  5. Step 5: Solve for x
    x = 36,029.84/195.63
  6. Step 6: Final answer
    x = 184.17

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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.