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Finding the Fourth Proportional to 189.60, 283.76 and 125.44

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Solution

The fourth proportional to 189.60, 283.76 and 125.44 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 283.76 = 125.44 : x
  2. Step 2: Convert to fraction form
    189.60/283.76 = 125.44/x
  3. Step 3: Cross multiply
    189.60x = 283.76 × 125.44
  4. Step 4: Simplify right side
    189.60x = 35,594.85
  5. Step 5: Solve for x
    x = 35,594.85/189.60
  6. Step 6: Final answer
    x = 187.74

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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.