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Finding the Fourth Proportional to 192.29, 288.89 and 178.62

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Solution

The fourth proportional to 192.29, 288.89 and 178.62 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 288.89 = 178.62 : x
  2. Step 2: Convert to fraction form
    192.29/288.89 = 178.62/x
  3. Step 3: Cross multiply
    192.29x = 288.89 × 178.62
  4. Step 4: Simplify right side
    192.29x = 51,600.23
  5. Step 5: Solve for x
    x = 51,600.23/192.29
  6. Step 6: Final answer
    x = 268.35

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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.