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Finding the Fourth Proportional to 182.78, 274.24 and 109.79

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Solution

The fourth proportional to 182.78, 274.24 and 109.79 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 274.24 = 109.79 : x
  2. Step 2: Convert to fraction form
    182.78/274.24 = 109.79/x
  3. Step 3: Cross multiply
    182.78x = 274.24 × 109.79
  4. Step 4: Simplify right side
    182.78x = 30,108.81
  5. Step 5: Solve for x
    x = 30,108.81/182.78
  6. Step 6: Final answer
    x = 164.73

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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.