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Finding the Fourth Proportional to 196.58, 271.29 and 109.25

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Solution

The fourth proportional to 196.58, 271.29 and 109.25 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.58 : 271.29 = 109.25 : x
  2. Step 2: Convert to fraction form
    196.58/271.29 = 109.25/x
  3. Step 3: Cross multiply
    196.58x = 271.29 × 109.25
  4. Step 4: Simplify right side
    196.58x = 29,638.43
  5. Step 5: Solve for x
    x = 29,638.43/196.58
  6. Step 6: Final answer
    x = 150.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.