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Finding the Fourth Proportional to 192.60, 263.43 and 189.72

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Solution

The fourth proportional to 192.60, 263.43 and 189.72 is: 259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 263.43 = 189.72 : x
  2. Step 2: Convert to fraction form
    192.60/263.43 = 189.72/x
  3. Step 3: Cross multiply
    192.60x = 263.43 × 189.72
  4. Step 4: Simplify right side
    192.60x = 49,977.94
  5. Step 5: Solve for x
    x = 49,977.94/192.60
  6. Step 6: Final answer
    x = 259.49

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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.