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Finding the Fourth Proportional to 196.06, 291.96 and 193.90

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Solution

The fourth proportional to 196.06, 291.96 and 193.90 is: 288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.06 : 291.96 = 193.90 : x
  2. Step 2: Convert to fraction form
    196.06/291.96 = 193.90/x
  3. Step 3: Cross multiply
    196.06x = 291.96 × 193.90
  4. Step 4: Simplify right side
    196.06x = 56,611.04
  5. Step 5: Solve for x
    x = 56,611.04/196.06
  6. Step 6: Final answer
    x = 288.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.