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Finding the Fourth Proportional to 196.90, 295.39 and 59.94

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Solution

The fourth proportional to 196.90, 295.39 and 59.94 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 295.39 = 59.94 : x
  2. Step 2: Convert to fraction form
    196.90/295.39 = 59.94/x
  3. Step 3: Cross multiply
    196.90x = 295.39 × 59.94
  4. Step 4: Simplify right side
    196.90x = 17,705.68
  5. Step 5: Solve for x
    x = 17,705.68/196.90
  6. Step 6: Final answer
    x = 89.92

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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.