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Finding the Fourth Proportional to 196.47, 293.16 and 195.33

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Solution

The fourth proportional to 196.47, 293.16 and 195.33 is: 291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.47 : 293.16 = 195.33 : x
  2. Step 2: Convert to fraction form
    196.47/293.16 = 195.33/x
  3. Step 3: Cross multiply
    196.47x = 293.16 × 195.33
  4. Step 4: Simplify right side
    196.47x = 57,262.94
  5. Step 5: Solve for x
    x = 57,262.94/196.47
  6. Step 6: Final answer
    x = 291.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.