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Finding the Fourth Proportional to 195.21, 292.95 and 126.54

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Solution

The fourth proportional to 195.21, 292.95 and 126.54 is: 189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 292.95 = 126.54 : x
  2. Step 2: Convert to fraction form
    195.21/292.95 = 126.54/x
  3. Step 3: Cross multiply
    195.21x = 292.95 × 126.54
  4. Step 4: Simplify right side
    195.21x = 37,069.89
  5. Step 5: Solve for x
    x = 37,069.89/195.21
  6. Step 6: Final answer
    x = 189.90

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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.