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Finding the Fourth Proportional to 182.58, 274.23 and 161.70

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Solution

The fourth proportional to 182.58, 274.23 and 161.70 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.58 : 274.23 = 161.70 : x
  2. Step 2: Convert to fraction form
    182.58/274.23 = 161.70/x
  3. Step 3: Cross multiply
    182.58x = 274.23 × 161.70
  4. Step 4: Simplify right side
    182.58x = 44,342.99
  5. Step 5: Solve for x
    x = 44,342.99/182.58
  6. Step 6: Final answer
    x = 242.87

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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.