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Finding the Fourth Proportional to 182.59, 272.43 and 178.44

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Solution

The fourth proportional to 182.59, 272.43 and 178.44 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.59 : 272.43 = 178.44 : x
  2. Step 2: Convert to fraction form
    182.59/272.43 = 178.44/x
  3. Step 3: Cross multiply
    182.59x = 272.43 × 178.44
  4. Step 4: Simplify right side
    182.59x = 48,611.39
  5. Step 5: Solve for x
    x = 48,611.39/182.59
  6. Step 6: Final answer
    x = 266.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.