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Finding the Fourth Proportional to 192.29, 288.26 and 89.52

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Solution

The fourth proportional to 192.29, 288.26 and 89.52 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 288.26 = 89.52 : x
  2. Step 2: Convert to fraction form
    192.29/288.26 = 89.52/x
  3. Step 3: Cross multiply
    192.29x = 288.26 × 89.52
  4. Step 4: Simplify right side
    192.29x = 25,806.00
  5. Step 5: Solve for x
    x = 25,806.00/192.29
  6. Step 6: Final answer
    x = 134.20

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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.