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Finding the Fourth Proportional to 189.72, 283.92 and 164.38

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Solution

The fourth proportional to 189.72, 283.92 and 164.38 is: 246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 283.92 = 164.38 : x
  2. Step 2: Convert to fraction form
    189.72/283.92 = 164.38/x
  3. Step 3: Cross multiply
    189.72x = 283.92 × 164.38
  4. Step 4: Simplify right side
    189.72x = 46,670.77
  5. Step 5: Solve for x
    x = 46,670.77/189.72
  6. Step 6: Final answer
    x = 246.00

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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.