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Finding the Fourth Proportional to 195.87, 270.47 and 130.41

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Solution

The fourth proportional to 195.87, 270.47 and 130.41 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.87 : 270.47 = 130.41 : x
  2. Step 2: Convert to fraction form
    195.87/270.47 = 130.41/x
  3. Step 3: Cross multiply
    195.87x = 270.47 × 130.41
  4. Step 4: Simplify right side
    195.87x = 35,271.99
  5. Step 5: Solve for x
    x = 35,271.99/195.87
  6. Step 6: Final answer
    x = 180.08

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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.