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Finding the Fourth Proportional to 195.94, 293.70 and 65.82

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Solution

The fourth proportional to 195.94, 293.70 and 65.82 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 293.70 = 65.82 : x
  2. Step 2: Convert to fraction form
    195.94/293.70 = 65.82/x
  3. Step 3: Cross multiply
    195.94x = 293.70 × 65.82
  4. Step 4: Simplify right side
    195.94x = 19,332.68
  5. Step 5: Solve for x
    x = 19,332.68/195.94
  6. Step 6: Final answer
    x = 98.67

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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.