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Finding the Fourth Proportional to 183.72, 275.45 and 111.57

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Solution

The fourth proportional to 183.72, 275.45 and 111.57 is: 167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 275.45 = 111.57 : x
  2. Step 2: Convert to fraction form
    183.72/275.45 = 111.57/x
  3. Step 3: Cross multiply
    183.72x = 275.45 × 111.57
  4. Step 4: Simplify right side
    183.72x = 30,731.96
  5. Step 5: Solve for x
    x = 30,731.96/183.72
  6. Step 6: Final answer
    x = 167.28

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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.