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Finding the Fourth Proportional to 183.46, 273.71 and 175.33

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Solution

The fourth proportional to 183.46, 273.71 and 175.33 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.46 : 273.71 = 175.33 : x
  2. Step 2: Convert to fraction form
    183.46/273.71 = 175.33/x
  3. Step 3: Cross multiply
    183.46x = 273.71 × 175.33
  4. Step 4: Simplify right side
    183.46x = 47,989.57
  5. Step 5: Solve for x
    x = 47,989.57/183.46
  6. Step 6: Final answer
    x = 261.58

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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.