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Finding the Fourth Proportional to 183.47, 274.37 and 148.59

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Solution

The fourth proportional to 183.47, 274.37 and 148.59 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.47 : 274.37 = 148.59 : x
  2. Step 2: Convert to fraction form
    183.47/274.37 = 148.59/x
  3. Step 3: Cross multiply
    183.47x = 274.37 × 148.59
  4. Step 4: Simplify right side
    183.47x = 40,767.90
  5. Step 5: Solve for x
    x = 40,767.90/183.47
  6. Step 6: Final answer
    x = 222.21

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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.