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Finding the Fourth Proportional to 196.59, 295.01 and 109.89

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Solution

The fourth proportional to 196.59, 295.01 and 109.89 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 295.01 = 109.89 : x
  2. Step 2: Convert to fraction form
    196.59/295.01 = 109.89/x
  3. Step 3: Cross multiply
    196.59x = 295.01 × 109.89
  4. Step 4: Simplify right side
    196.59x = 32,418.51
  5. Step 5: Solve for x
    x = 32,418.51/196.59
  6. Step 6: Final answer
    x = 164.90

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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.