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Finding the Fourth Proportional to 192.60, 289.02 and 179.28

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Solution

The fourth proportional to 192.60, 289.02 and 179.28 is: 269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 289.02 = 179.28 : x
  2. Step 2: Convert to fraction form
    192.60/289.02 = 179.28/x
  3. Step 3: Cross multiply
    192.60x = 289.02 × 179.28
  4. Step 4: Simplify right side
    192.60x = 51,815.51
  5. Step 5: Solve for x
    x = 51,815.51/192.60
  6. Step 6: Final answer
    x = 269.03

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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.