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Finding the Fourth Proportional to 196.01, 292.43 and 178.33

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Solution

The fourth proportional to 196.01, 292.43 and 178.33 is: 266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.01 : 292.43 = 178.33 : x
  2. Step 2: Convert to fraction form
    196.01/292.43 = 178.33/x
  3. Step 3: Cross multiply
    196.01x = 292.43 × 178.33
  4. Step 4: Simplify right side
    196.01x = 52,147.58
  5. Step 5: Solve for x
    x = 52,147.58/196.01
  6. Step 6: Final answer
    x = 266.05

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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.