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Finding the Fourth Proportional to 189.40, 262.02 and 176.44

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Solution

The fourth proportional to 189.40, 262.02 and 176.44 is: 244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 262.02 = 176.44 : x
  2. Step 2: Convert to fraction form
    189.40/262.02 = 176.44/x
  3. Step 3: Cross multiply
    189.40x = 262.02 × 176.44
  4. Step 4: Simplify right side
    189.40x = 46,230.81
  5. Step 5: Solve for x
    x = 46,230.81/189.40
  6. Step 6: Final answer
    x = 244.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.