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Finding the Fourth Proportional to 196.77, 295.23 and 138.86

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Solution

The fourth proportional to 196.77, 295.23 and 138.86 is: 208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 295.23 = 138.86 : x
  2. Step 2: Convert to fraction form
    196.77/295.23 = 138.86/x
  3. Step 3: Cross multiply
    196.77x = 295.23 × 138.86
  4. Step 4: Simplify right side
    196.77x = 40,994.16
  5. Step 5: Solve for x
    x = 40,994.16/196.77
  6. Step 6: Final answer
    x = 208.34

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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.