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Finding the Fourth Proportional to 182.14, 251.36 and 108.45

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Solution

The fourth proportional to 182.14, 251.36 and 108.45 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 251.36 = 108.45 : x
  2. Step 2: Convert to fraction form
    182.14/251.36 = 108.45/x
  3. Step 3: Cross multiply
    182.14x = 251.36 × 108.45
  4. Step 4: Simplify right side
    182.14x = 27,259.99
  5. Step 5: Solve for x
    x = 27,259.99/182.14
  6. Step 6: Final answer
    x = 149.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.