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Finding the Fourth Proportional to 183.51, 273.93 and 163.17

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Solution

The fourth proportional to 183.51, 273.93 and 163.17 is: 243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 273.93 = 163.17 : x
  2. Step 2: Convert to fraction form
    183.51/273.93 = 163.17/x
  3. Step 3: Cross multiply
    183.51x = 273.93 × 163.17
  4. Step 4: Simplify right side
    183.51x = 44,697.16
  5. Step 5: Solve for x
    x = 44,697.16/183.51
  6. Step 6: Final answer
    x = 243.57

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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.