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Finding the Fourth Proportional to 199.53, 273.69 and 187.77

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Solution

The fourth proportional to 199.53, 273.69 and 187.77 is: 257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 273.69 = 187.77 : x
  2. Step 2: Convert to fraction form
    199.53/273.69 = 187.77/x
  3. Step 3: Cross multiply
    199.53x = 273.69 × 187.77
  4. Step 4: Simplify right side
    199.53x = 51,390.77
  5. Step 5: Solve for x
    x = 51,390.77/199.53
  6. Step 6: Final answer
    x = 257.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.