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Finding the Fourth Proportional to 182.84, 274.09 and 104.87

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Solution

The fourth proportional to 182.84, 274.09 and 104.87 is: 157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 274.09 = 104.87 : x
  2. Step 2: Convert to fraction form
    182.84/274.09 = 104.87/x
  3. Step 3: Cross multiply
    182.84x = 274.09 × 104.87
  4. Step 4: Simplify right side
    182.84x = 28,743.82
  5. Step 5: Solve for x
    x = 28,743.82/182.84
  6. Step 6: Final answer
    x = 157.21

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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.