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Finding the Fourth Proportional to 183.82, 274.44 and 156.38

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Solution

The fourth proportional to 183.82, 274.44 and 156.38 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.82 : 274.44 = 156.38 : x
  2. Step 2: Convert to fraction form
    183.82/274.44 = 156.38/x
  3. Step 3: Cross multiply
    183.82x = 274.44 × 156.38
  4. Step 4: Simplify right side
    183.82x = 42,916.93
  5. Step 5: Solve for x
    x = 42,916.93/183.82
  6. Step 6: Final answer
    x = 233.47

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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.