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Finding the Fourth Proportional to 189.09, 281.91 and 184.28

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Solution

The fourth proportional to 189.09, 281.91 and 184.28 is: 274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.09 : 281.91 = 184.28 : x
  2. Step 2: Convert to fraction form
    189.09/281.91 = 184.28/x
  3. Step 3: Cross multiply
    189.09x = 281.91 × 184.28
  4. Step 4: Simplify right side
    189.09x = 51,950.37
  5. Step 5: Solve for x
    x = 51,950.37/189.09
  6. Step 6: Final answer
    x = 274.74

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Why These Related Problems?

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