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Finding the Fourth Proportional to 182.68, 273.82 and 101.40

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Solution

The fourth proportional to 182.68, 273.82 and 101.40 is: 151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 273.82 = 101.40 : x
  2. Step 2: Convert to fraction form
    182.68/273.82 = 101.40/x
  3. Step 3: Cross multiply
    182.68x = 273.82 × 101.40
  4. Step 4: Simplify right side
    182.68x = 27,765.35
  5. Step 5: Solve for x
    x = 27,765.35/182.68
  6. Step 6: Final answer
    x = 151.99

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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.