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Finding the Fourth Proportional to 183.08, 274.72 and 144.46

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Solution

The fourth proportional to 183.08, 274.72 and 144.46 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.08 : 274.72 = 144.46 : x
  2. Step 2: Convert to fraction form
    183.08/274.72 = 144.46/x
  3. Step 3: Cross multiply
    183.08x = 274.72 × 144.46
  4. Step 4: Simplify right side
    183.08x = 39,686.05
  5. Step 5: Solve for x
    x = 39,686.05/183.08
  6. Step 6: Final answer
    x = 216.77

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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.