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Finding the Fourth Proportional to 183.06, 274.39 and 147.02

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Solution

The fourth proportional to 183.06, 274.39 and 147.02 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 274.39 = 147.02 : x
  2. Step 2: Convert to fraction form
    183.06/274.39 = 147.02/x
  3. Step 3: Cross multiply
    183.06x = 274.39 × 147.02
  4. Step 4: Simplify right side
    183.06x = 40,339.08
  5. Step 5: Solve for x
    x = 40,339.08/183.06
  6. Step 6: Final answer
    x = 220.36

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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.