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Finding the Fourth Proportional to 183.34, 274.64 and 113.84

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Solution

The fourth proportional to 183.34, 274.64 and 113.84 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.34 : 274.64 = 113.84 : x
  2. Step 2: Convert to fraction form
    183.34/274.64 = 113.84/x
  3. Step 3: Cross multiply
    183.34x = 274.64 × 113.84
  4. Step 4: Simplify right side
    183.34x = 31,265.02
  5. Step 5: Solve for x
    x = 31,265.02/183.34
  6. Step 6: Final answer
    x = 170.53

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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.