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Finding the Fourth Proportional to 182.79, 273.93 and 105.71

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Solution

The fourth proportional to 182.79, 273.93 and 105.71 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.79 : 273.93 = 105.71 : x
  2. Step 2: Convert to fraction form
    182.79/273.93 = 105.71/x
  3. Step 3: Cross multiply
    182.79x = 273.93 × 105.71
  4. Step 4: Simplify right side
    182.79x = 28,955.77
  5. Step 5: Solve for x
    x = 28,955.77/182.79
  6. Step 6: Final answer
    x = 158.41

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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.