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Finding the Fourth Proportional to 183.21, 274.51 and 96.41

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Solution

The fourth proportional to 183.21, 274.51 and 96.41 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.21 : 274.51 = 96.41 : x
  2. Step 2: Convert to fraction form
    183.21/274.51 = 96.41/x
  3. Step 3: Cross multiply
    183.21x = 274.51 × 96.41
  4. Step 4: Simplify right side
    183.21x = 26,463.90
  5. Step 5: Solve for x
    x = 26,463.90/183.21
  6. Step 6: Final answer
    x = 144.45

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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.