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Finding the Fourth Proportional to 183.80, 253.46 and 125.48

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Solution

The fourth proportional to 183.80, 253.46 and 125.48 is: 173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.80 : 253.46 = 125.48 : x
  2. Step 2: Convert to fraction form
    183.80/253.46 = 125.48/x
  3. Step 3: Cross multiply
    183.80x = 253.46 × 125.48
  4. Step 4: Simplify right side
    183.80x = 31,804.16
  5. Step 5: Solve for x
    x = 31,804.16/183.80
  6. Step 6: Final answer
    x = 173.04

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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.