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Finding the Fourth Proportional to 196.04, 268.78 and 192.59

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Solution

The fourth proportional to 196.04, 268.78 and 192.59 is: 264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 268.78 = 192.59 : x
  2. Step 2: Convert to fraction form
    196.04/268.78 = 192.59/x
  3. Step 3: Cross multiply
    196.04x = 268.78 × 192.59
  4. Step 4: Simplify right side
    196.04x = 51,763.38
  5. Step 5: Solve for x
    x = 51,763.38/196.04
  6. Step 6: Final answer
    x = 264.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.