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Finding the Fourth Proportional to 189.37, 284.02 and 111.24

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Solution

The fourth proportional to 189.37, 284.02 and 111.24 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 284.02 = 111.24 : x
  2. Step 2: Convert to fraction form
    189.37/284.02 = 111.24/x
  3. Step 3: Cross multiply
    189.37x = 284.02 × 111.24
  4. Step 4: Simplify right side
    189.37x = 31,594.38
  5. Step 5: Solve for x
    x = 31,594.38/189.37
  6. Step 6: Final answer
    x = 166.84

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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.