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Finding the Fourth Proportional to 182.60, 274.01 and 95.98

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Solution

The fourth proportional to 182.60, 274.01 and 95.98 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 274.01 = 95.98 : x
  2. Step 2: Convert to fraction form
    182.60/274.01 = 95.98/x
  3. Step 3: Cross multiply
    182.60x = 274.01 × 95.98
  4. Step 4: Simplify right side
    182.60x = 26,299.37
  5. Step 5: Solve for x
    x = 26,299.37/182.60
  6. Step 6: Final answer
    x = 144.03

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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.