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Finding the Fourth Proportional to 196, 293.74 and 74.11

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Solution

The fourth proportional to 196, 293.74 and 74.11 is: 111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 293.74 = 74.11 : x
  2. Step 2: Convert to fraction form
    196/293.74 = 74.11/x
  3. Step 3: Cross multiply
    196x = 293.74 × 74.11
  4. Step 4: Simplify right side
    196x = 21,769.07
  5. Step 5: Solve for x
    x = 21,769.07/196
  6. Step 6: Final answer
    x = 111.07

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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.