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Finding the Fourth Proportional to 196.42, 294.56 and 74.67

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Solution

The fourth proportional to 196.42, 294.56 and 74.67 is: 111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 294.56 = 74.67 : x
  2. Step 2: Convert to fraction form
    196.42/294.56 = 74.67/x
  3. Step 3: Cross multiply
    196.42x = 294.56 × 74.67
  4. Step 4: Simplify right side
    196.42x = 21,994.42
  5. Step 5: Solve for x
    x = 21,994.42/196.42
  6. Step 6: Final answer
    x = 111.98

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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.