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Finding the Fourth Proportional to 189.35, 262.57 and 183.21

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Solution

The fourth proportional to 189.35, 262.57 and 183.21 is: 254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.35 : 262.57 = 183.21 : x
  2. Step 2: Convert to fraction form
    189.35/262.57 = 183.21/x
  3. Step 3: Cross multiply
    189.35x = 262.57 × 183.21
  4. Step 4: Simplify right side
    189.35x = 48,105.45
  5. Step 5: Solve for x
    x = 48,105.45/189.35
  6. Step 6: Final answer
    x = 254.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.