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Finding the Fourth Proportional to 183.94, 254.01 and 115.06

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Solution

The fourth proportional to 183.94, 254.01 and 115.06 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.94 : 254.01 = 115.06 : x
  2. Step 2: Convert to fraction form
    183.94/254.01 = 115.06/x
  3. Step 3: Cross multiply
    183.94x = 254.01 × 115.06
  4. Step 4: Simplify right side
    183.94x = 29,226.39
  5. Step 5: Solve for x
    x = 29,226.39/183.94
  6. Step 6: Final answer
    x = 158.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.