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Finding the Fourth Proportional to 182.86, 274.35 and 74.73

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Solution

The fourth proportional to 182.86, 274.35 and 74.73 is: 112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.86 : 274.35 = 74.73 : x
  2. Step 2: Convert to fraction form
    182.86/274.35 = 74.73/x
  3. Step 3: Cross multiply
    182.86x = 274.35 × 74.73
  4. Step 4: Simplify right side
    182.86x = 20,501.31
  5. Step 5: Solve for x
    x = 20,501.31/182.86
  6. Step 6: Final answer
    x = 112.11

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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.