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Finding the Fourth Proportional to 194.20, 283.10 and 194.20

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Solution

The fourth proportional to 194.20, 283.10 and 194.20 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 283.10 = 194.20 : x
  2. Step 2: Convert to fraction form
    194.20/283.10 = 194.20/x
  3. Step 3: Cross multiply
    194.20x = 283.10 × 194.20
  4. Step 4: Simplify right side
    194.20x = 54,978.02
  5. Step 5: Solve for x
    x = 54,978.02/194.20
  6. Step 6: Final answer
    x = 283.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.