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Finding the Fourth Proportional to 196.77, 296.72 and 193.12

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Solution

The fourth proportional to 196.77, 296.72 and 193.12 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 296.72 = 193.12 : x
  2. Step 2: Convert to fraction form
    196.77/296.72 = 193.12/x
  3. Step 3: Cross multiply
    196.77x = 296.72 × 193.12
  4. Step 4: Simplify right side
    196.77x = 57,302.57
  5. Step 5: Solve for x
    x = 57,302.57/196.77
  6. Step 6: Final answer
    x = 291.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.