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Finding the Fourth Proportional to 195.63, 270.05 and 149.01

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Solution

The fourth proportional to 195.63, 270.05 and 149.01 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.63 : 270.05 = 149.01 : x
  2. Step 2: Convert to fraction form
    195.63/270.05 = 149.01/x
  3. Step 3: Cross multiply
    195.63x = 270.05 × 149.01
  4. Step 4: Simplify right side
    195.63x = 40,239.41
  5. Step 5: Solve for x
    x = 40,239.41/195.63
  6. Step 6: Final answer
    x = 205.69

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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.