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Finding the Fourth Proportional to 195.36, 292.42 and 103.93

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Solution

The fourth proportional to 195.36, 292.42 and 103.93 is: 155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.36 : 292.42 = 103.93 : x
  2. Step 2: Convert to fraction form
    195.36/292.42 = 103.93/x
  3. Step 3: Cross multiply
    195.36x = 292.42 × 103.93
  4. Step 4: Simplify right side
    195.36x = 30,390.61
  5. Step 5: Solve for x
    x = 30,390.61/195.36
  6. Step 6: Final answer
    x = 155.57

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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.