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Finding the Fourth Proportional to 189.90, 283.01 and 185.81

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Solution

The fourth proportional to 189.90, 283.01 and 185.81 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 283.01 = 185.81 : x
  2. Step 2: Convert to fraction form
    189.90/283.01 = 185.81/x
  3. Step 3: Cross multiply
    189.90x = 283.01 × 185.81
  4. Step 4: Simplify right side
    189.90x = 52,583.74
  5. Step 5: Solve for x
    x = 52,583.74/189.90
  6. Step 6: Final answer
    x = 276.90

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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.