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Finding the Fourth Proportional to 189.17, 283.87 and 91.67

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Solution

The fourth proportional to 189.17, 283.87 and 91.67 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.17 : 283.87 = 91.67 : x
  2. Step 2: Convert to fraction form
    189.17/283.87 = 91.67/x
  3. Step 3: Cross multiply
    189.17x = 283.87 × 91.67
  4. Step 4: Simplify right side
    189.17x = 26,021.06
  5. Step 5: Solve for x
    x = 26,021.06/189.17
  6. Step 6: Final answer
    x = 137.55

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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.