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Finding the Fourth Proportional to 189.20, 260.88 and 154.19

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Solution

The fourth proportional to 189.20, 260.88 and 154.19 is: 212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.20 : 260.88 = 154.19 : x
  2. Step 2: Convert to fraction form
    189.20/260.88 = 154.19/x
  3. Step 3: Cross multiply
    189.20x = 260.88 × 154.19
  4. Step 4: Simplify right side
    189.20x = 40,225.09
  5. Step 5: Solve for x
    x = 40,225.09/189.20
  6. Step 6: Final answer
    x = 212.61

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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.