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Finding the Fourth Proportional to 182.36, 273.61 and 105.40

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Solution

The fourth proportional to 182.36, 273.61 and 105.40 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 273.61 = 105.40 : x
  2. Step 2: Convert to fraction form
    182.36/273.61 = 105.40/x
  3. Step 3: Cross multiply
    182.36x = 273.61 × 105.40
  4. Step 4: Simplify right side
    182.36x = 28,838.97
  5. Step 5: Solve for x
    x = 28,838.97/182.36
  6. Step 6: Final answer
    x = 158.14

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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.