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Finding the Fourth Proportional to 196.99, 295.53 and 105.77

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Solution

The fourth proportional to 196.99, 295.53 and 105.77 is: 158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.99 : 295.53 = 105.77 : x
  2. Step 2: Convert to fraction form
    196.99/295.53 = 105.77/x
  3. Step 3: Cross multiply
    196.99x = 295.53 × 105.77
  4. Step 4: Simplify right side
    196.99x = 31,257.68
  5. Step 5: Solve for x
    x = 31,257.68/196.99
  6. Step 6: Final answer
    x = 158.68

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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.