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Finding the Fourth Proportional to 183.76, 273.95 and 175.12

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Solution

The fourth proportional to 183.76, 273.95 and 175.12 is: 261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.76 : 273.95 = 175.12 : x
  2. Step 2: Convert to fraction form
    183.76/273.95 = 175.12/x
  3. Step 3: Cross multiply
    183.76x = 273.95 × 175.12
  4. Step 4: Simplify right side
    183.76x = 47,974.12
  5. Step 5: Solve for x
    x = 47,974.12/183.76
  6. Step 6: Final answer
    x = 261.07

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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.