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Finding the Fourth Proportional to 192.64, 288.69 and 138.64

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Solution

The fourth proportional to 192.64, 288.69 and 138.64 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 288.69 = 138.64 : x
  2. Step 2: Convert to fraction form
    192.64/288.69 = 138.64/x
  3. Step 3: Cross multiply
    192.64x = 288.69 × 138.64
  4. Step 4: Simplify right side
    192.64x = 40,023.98
  5. Step 5: Solve for x
    x = 40,023.98/192.64
  6. Step 6: Final answer
    x = 207.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.