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Finding the Fourth Proportional to 182.77, 274.10 and 105.77

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Solution

The fourth proportional to 182.77, 274.10 and 105.77 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.77 : 274.10 = 105.77 : x
  2. Step 2: Convert to fraction form
    182.77/274.10 = 105.77/x
  3. Step 3: Cross multiply
    182.77x = 274.10 × 105.77
  4. Step 4: Simplify right side
    182.77x = 28,991.71
  5. Step 5: Solve for x
    x = 28,991.71/182.77
  6. Step 6: Final answer
    x = 158.63

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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.