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Finding the Fourth Proportional to 195.84, 270.27 and 130.30

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Solution

The fourth proportional to 195.84, 270.27 and 130.30 is: 179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 270.27 = 130.30 : x
  2. Step 2: Convert to fraction form
    195.84/270.27 = 130.30/x
  3. Step 3: Cross multiply
    195.84x = 270.27 × 130.30
  4. Step 4: Simplify right side
    195.84x = 35,215.51
  5. Step 5: Solve for x
    x = 35,215.51/195.84
  6. Step 6: Final answer
    x = 179.82

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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.