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Finding the Fourth Proportional to 183.67, 274.35 and 156.33

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Solution

The fourth proportional to 183.67, 274.35 and 156.33 is: 233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.67 : 274.35 = 156.33 : x
  2. Step 2: Convert to fraction form
    183.67/274.35 = 156.33/x
  3. Step 3: Cross multiply
    183.67x = 274.35 × 156.33
  4. Step 4: Simplify right side
    183.67x = 42,889.72
  5. Step 5: Solve for x
    x = 42,889.72/183.67
  6. Step 6: Final answer
    x = 233.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.