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Finding the Fourth Proportional to 196.97, 294.29 and 190.16

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Solution

The fourth proportional to 196.97, 294.29 and 190.16 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 294.29 = 190.16 : x
  2. Step 2: Convert to fraction form
    196.97/294.29 = 190.16/x
  3. Step 3: Cross multiply
    196.97x = 294.29 × 190.16
  4. Step 4: Simplify right side
    196.97x = 55,959.76
  5. Step 5: Solve for x
    x = 55,959.76/196.97
  6. Step 6: Final answer
    x = 284.11

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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.