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Finding the Fourth Proportional to 183.54, 274.71 and 135.54

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Solution

The fourth proportional to 183.54, 274.71 and 135.54 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 274.71 = 135.54 : x
  2. Step 2: Convert to fraction form
    183.54/274.71 = 135.54/x
  3. Step 3: Cross multiply
    183.54x = 274.71 × 135.54
  4. Step 4: Simplify right side
    183.54x = 37,234.19
  5. Step 5: Solve for x
    x = 37,234.19/183.54
  6. Step 6: Final answer
    x = 202.87

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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.