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Finding the Fourth Proportional to 192.09, 288.28 and 148.87

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Solution

The fourth proportional to 192.09, 288.28 and 148.87 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.09 : 288.28 = 148.87 : x
  2. Step 2: Convert to fraction form
    192.09/288.28 = 148.87/x
  3. Step 3: Cross multiply
    192.09x = 288.28 × 148.87
  4. Step 4: Simplify right side
    192.09x = 42,916.24
  5. Step 5: Solve for x
    x = 42,916.24/192.09
  6. Step 6: Final answer
    x = 223.42

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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.