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Finding the Fourth Proportional to 189.76, 283.07 and 161.05

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Solution

The fourth proportional to 189.76, 283.07 and 161.05 is: 240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 283.07 = 161.05 : x
  2. Step 2: Convert to fraction form
    189.76/283.07 = 161.05/x
  3. Step 3: Cross multiply
    189.76x = 283.07 × 161.05
  4. Step 4: Simplify right side
    189.76x = 45,588.42
  5. Step 5: Solve for x
    x = 45,588.42/189.76
  6. Step 6: Final answer
    x = 240.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.