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Finding the Fourth Proportional to 189.08, 283.66 and 92.90

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Solution

The fourth proportional to 189.08, 283.66 and 92.90 is: 139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.08 : 283.66 = 92.90 : x
  2. Step 2: Convert to fraction form
    189.08/283.66 = 92.90/x
  3. Step 3: Cross multiply
    189.08x = 283.66 × 92.90
  4. Step 4: Simplify right side
    189.08x = 26,352.01
  5. Step 5: Solve for x
    x = 26,352.01/189.08
  6. Step 6: Final answer
    x = 139.37

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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.