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Finding the Fourth Proportional to 183.09, 252.46 and 148.02

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Solution

The fourth proportional to 183.09, 252.46 and 148.02 is: 204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.09 : 252.46 = 148.02 : x
  2. Step 2: Convert to fraction form
    183.09/252.46 = 148.02/x
  3. Step 3: Cross multiply
    183.09x = 252.46 × 148.02
  4. Step 4: Simplify right side
    183.09x = 37,367.53
  5. Step 5: Solve for x
    x = 37,367.53/183.09
  6. Step 6: Final answer
    x = 204.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.