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Finding the Fourth Proportional to 192.96, 289.36 and 90.23

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Solution

The fourth proportional to 192.96, 289.36 and 90.23 is: 135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 289.36 = 90.23 : x
  2. Step 2: Convert to fraction form
    192.96/289.36 = 90.23/x
  3. Step 3: Cross multiply
    192.96x = 289.36 × 90.23
  4. Step 4: Simplify right side
    192.96x = 26,108.95
  5. Step 5: Solve for x
    x = 26,108.95/192.96
  6. Step 6: Final answer
    x = 135.31

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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.