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Finding the Fourth Proportional to 183.14, 273.16 and 153.91

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Solution

The fourth proportional to 183.14, 273.16 and 153.91 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 273.16 = 153.91 : x
  2. Step 2: Convert to fraction form
    183.14/273.16 = 153.91/x
  3. Step 3: Cross multiply
    183.14x = 273.16 × 153.91
  4. Step 4: Simplify right side
    183.14x = 42,042.06
  5. Step 5: Solve for x
    x = 42,042.06/183.14
  6. Step 6: Final answer
    x = 229.56

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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.