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Finding the Fourth Proportional to 195.21, 292.85 and 65.22

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Solution

The fourth proportional to 195.21, 292.85 and 65.22 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 292.85 = 65.22 : x
  2. Step 2: Convert to fraction form
    195.21/292.85 = 65.22/x
  3. Step 3: Cross multiply
    195.21x = 292.85 × 65.22
  4. Step 4: Simplify right side
    195.21x = 19,099.68
  5. Step 5: Solve for x
    x = 19,099.68/195.21
  6. Step 6: Final answer
    x = 97.84

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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.