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Finding the Fourth Proportional to 196.14, 294.26 and 59.19

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Solution

The fourth proportional to 196.14, 294.26 and 59.19 is: 88.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 294.26 = 59.19 : x
  2. Step 2: Convert to fraction form
    196.14/294.26 = 59.19/x
  3. Step 3: Cross multiply
    196.14x = 294.26 × 59.19
  4. Step 4: Simplify right side
    196.14x = 17,416.95
  5. Step 5: Solve for x
    x = 17,416.95/196.14
  6. Step 6: Final answer
    x = 88.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.