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Finding the Fourth Proportional to 195.44, 293.64 and 192.56

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Solution

The fourth proportional to 195.44, 293.64 and 192.56 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 293.64 = 192.56 : x
  2. Step 2: Convert to fraction form
    195.44/293.64 = 192.56/x
  3. Step 3: Cross multiply
    195.44x = 293.64 × 192.56
  4. Step 4: Simplify right side
    195.44x = 56,543.32
  5. Step 5: Solve for x
    x = 56,543.32/195.44
  6. Step 6: Final answer
    x = 289.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.