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Finding the Fourth Proportional to 194.94, 266.58 and 192.12

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Solution

The fourth proportional to 194.94, 266.58 and 192.12 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 266.58 = 192.12 : x
  2. Step 2: Convert to fraction form
    194.94/266.58 = 192.12/x
  3. Step 3: Cross multiply
    194.94x = 266.58 × 192.12
  4. Step 4: Simplify right side
    194.94x = 51,215.35
  5. Step 5: Solve for x
    x = 51,215.35/194.94
  6. Step 6: Final answer
    x = 262.72

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