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Finding the Fourth Proportional to 182.24, 272.96 and 96.80

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Solution

The fourth proportional to 182.24, 272.96 and 96.80 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 272.96 = 96.80 : x
  2. Step 2: Convert to fraction form
    182.24/272.96 = 96.80/x
  3. Step 3: Cross multiply
    182.24x = 272.96 × 96.80
  4. Step 4: Simplify right side
    182.24x = 26,422.53
  5. Step 5: Solve for x
    x = 26,422.53/182.24
  6. Step 6: Final answer
    x = 144.99

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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.