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Finding the Fourth Proportional to 183.78, 275.55 and 92.40

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Solution

The fourth proportional to 183.78, 275.55 and 92.40 is: 138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.78 : 275.55 = 92.40 : x
  2. Step 2: Convert to fraction form
    183.78/275.55 = 92.40/x
  3. Step 3: Cross multiply
    183.78x = 275.55 × 92.40
  4. Step 4: Simplify right side
    183.78x = 25,460.82
  5. Step 5: Solve for x
    x = 25,460.82/183.78
  6. Step 6: Final answer
    x = 138.54

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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.