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Finding the Fourth Proportional to 195.99, 294.02 and 104.77

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Solution

The fourth proportional to 195.99, 294.02 and 104.77 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.99 : 294.02 = 104.77 : x
  2. Step 2: Convert to fraction form
    195.99/294.02 = 104.77/x
  3. Step 3: Cross multiply
    195.99x = 294.02 × 104.77
  4. Step 4: Simplify right side
    195.99x = 30,804.48
  5. Step 5: Solve for x
    x = 30,804.48/195.99
  6. Step 6: Final answer
    x = 157.17

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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.