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Finding the Fourth Proportional to 195.41, 293.04 and 65.39

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Solution

The fourth proportional to 195.41, 293.04 and 65.39 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.41 : 293.04 = 65.39 : x
  2. Step 2: Convert to fraction form
    195.41/293.04 = 65.39/x
  3. Step 3: Cross multiply
    195.41x = 293.04 × 65.39
  4. Step 4: Simplify right side
    195.41x = 19,162.62
  5. Step 5: Solve for x
    x = 19,162.62/195.41
  6. Step 6: Final answer
    x = 98.06

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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.