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Finding the Fourth Proportional to 182.24, 273.82 and 177.20

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Solution

The fourth proportional to 182.24, 273.82 and 177.20 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 273.82 = 177.20 : x
  2. Step 2: Convert to fraction form
    182.24/273.82 = 177.20/x
  3. Step 3: Cross multiply
    182.24x = 273.82 × 177.20
  4. Step 4: Simplify right side
    182.24x = 48,520.90
  5. Step 5: Solve for x
    x = 48,520.90/182.24
  6. Step 6: Final answer
    x = 266.25

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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.