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Finding the Fourth Proportional to 196.84, 293.95 and 185.45

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Solution

The fourth proportional to 196.84, 293.95 and 185.45 is: 276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.84 : 293.95 = 185.45 : x
  2. Step 2: Convert to fraction form
    196.84/293.95 = 185.45/x
  3. Step 3: Cross multiply
    196.84x = 293.95 × 185.45
  4. Step 4: Simplify right side
    196.84x = 54,513.30
  5. Step 5: Solve for x
    x = 54,513.30/196.84
  6. Step 6: Final answer
    x = 276.95

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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.