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Finding the Fourth Proportional to 182.57, 273.80 and 67.01

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Solution

The fourth proportional to 182.57, 273.80 and 67.01 is: 100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.57 : 273.80 = 67.01 : x
  2. Step 2: Convert to fraction form
    182.57/273.80 = 67.01/x
  3. Step 3: Cross multiply
    182.57x = 273.80 × 67.01
  4. Step 4: Simplify right side
    182.57x = 18,346.14
  5. Step 5: Solve for x
    x = 18,346.14/182.57
  6. Step 6: Final answer
    x = 100.49

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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.