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Finding the Fourth Proportional to 196.58, 296.60 and 194.96

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Solution

The fourth proportional to 196.58, 296.60 and 194.96 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.58 : 296.60 = 194.96 : x
  2. Step 2: Convert to fraction form
    196.58/296.60 = 194.96/x
  3. Step 3: Cross multiply
    196.58x = 296.60 × 194.96
  4. Step 4: Simplify right side
    196.58x = 57,825.14
  5. Step 5: Solve for x
    x = 57,825.14/196.58
  6. Step 6: Final answer
    x = 294.16

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Why These Related Problems?

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