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Finding the Fourth Proportional to 182.49, 273.78 and 158.28

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Solution

The fourth proportional to 182.49, 273.78 and 158.28 is: 237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.49 : 273.78 = 158.28 : x
  2. Step 2: Convert to fraction form
    182.49/273.78 = 158.28/x
  3. Step 3: Cross multiply
    182.49x = 273.78 × 158.28
  4. Step 4: Simplify right side
    182.49x = 43,333.90
  5. Step 5: Solve for x
    x = 43,333.90/182.49
  6. Step 6: Final answer
    x = 237.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.