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Finding the Fourth Proportional to 189.01, 283.77 and 120.37

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Solution

The fourth proportional to 189.01, 283.77 and 120.37 is: 180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.01 : 283.77 = 120.37 : x
  2. Step 2: Convert to fraction form
    189.01/283.77 = 120.37/x
  3. Step 3: Cross multiply
    189.01x = 283.77 × 120.37
  4. Step 4: Simplify right side
    189.01x = 34,157.39
  5. Step 5: Solve for x
    x = 34,157.39/189.01
  6. Step 6: Final answer
    x = 180.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.