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Finding the Fourth Proportional to 182.54, 273.51 and 101.24

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Solution

The fourth proportional to 182.54, 273.51 and 101.24 is: 151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.54 : 273.51 = 101.24 : x
  2. Step 2: Convert to fraction form
    182.54/273.51 = 101.24/x
  3. Step 3: Cross multiply
    182.54x = 273.51 × 101.24
  4. Step 4: Simplify right side
    182.54x = 27,690.15
  5. Step 5: Solve for x
    x = 27,690.15/182.54
  6. Step 6: Final answer
    x = 151.69

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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.