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Finding the Fourth Proportional to 192.60, 266.90 and 188.96

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Solution

The fourth proportional to 192.60, 266.90 and 188.96 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 266.90 = 188.96 : x
  2. Step 2: Convert to fraction form
    192.60/266.90 = 188.96/x
  3. Step 3: Cross multiply
    192.60x = 266.90 × 188.96
  4. Step 4: Simplify right side
    192.60x = 50,433.42
  5. Step 5: Solve for x
    x = 50,433.42/192.60
  6. Step 6: Final answer
    x = 261.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.