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Finding the Fourth Proportional to 196.09, 294.09 and 59.10

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Solution

The fourth proportional to 196.09, 294.09 and 59.10 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.09 : 294.09 = 59.10 : x
  2. Step 2: Convert to fraction form
    196.09/294.09 = 59.10/x
  3. Step 3: Cross multiply
    196.09x = 294.09 × 59.10
  4. Step 4: Simplify right side
    196.09x = 17,380.72
  5. Step 5: Solve for x
    x = 17,380.72/196.09
  6. Step 6: Final answer
    x = 88.64

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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.