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Finding the Fourth Proportional to 195.23, 292.79 and 65.21

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Solution

The fourth proportional to 195.23, 292.79 and 65.21 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.23 : 292.79 = 65.21 : x
  2. Step 2: Convert to fraction form
    195.23/292.79 = 65.21/x
  3. Step 3: Cross multiply
    195.23x = 292.79 × 65.21
  4. Step 4: Simplify right side
    195.23x = 19,092.51
  5. Step 5: Solve for x
    x = 19,092.51/195.23
  6. Step 6: Final answer
    x = 97.79

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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.