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Finding the Fourth Proportional to 196.10, 294.22 and 59.15

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Solution

The fourth proportional to 196.10, 294.22 and 59.15 is: 88.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.10 : 294.22 = 59.15 : x
  2. Step 2: Convert to fraction form
    196.10/294.22 = 59.15/x
  3. Step 3: Cross multiply
    196.10x = 294.22 × 59.15
  4. Step 4: Simplify right side
    196.10x = 17,401.93
  5. Step 5: Solve for x
    x = 17,401.93/196.10
  6. Step 6: Final answer
    x = 88.74

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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.