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Finding the Fourth Proportional to 194.20, 277.62 and 194.20

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Solution

The fourth proportional to 194.20, 277.62 and 194.20 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 277.62 = 194.20 : x
  2. Step 2: Convert to fraction form
    194.20/277.62 = 194.20/x
  3. Step 3: Cross multiply
    194.20x = 277.62 × 194.20
  4. Step 4: Simplify right side
    194.20x = 53,913.80
  5. Step 5: Solve for x
    x = 53,913.80/194.20
  6. Step 6: Final answer
    x = 277.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.