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Finding the Fourth Proportional to 196.67, 294.96 and 74.89

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Solution

The fourth proportional to 196.67, 294.96 and 74.89 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 294.96 = 74.89 : x
  2. Step 2: Convert to fraction form
    196.67/294.96 = 74.89/x
  3. Step 3: Cross multiply
    196.67x = 294.96 × 74.89
  4. Step 4: Simplify right side
    196.67x = 22,088.82
  5. Step 5: Solve for x
    x = 22,088.82/196.67
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.