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Finding the Fourth Proportional to 185.13, 253.97 and 180.33

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Solution

The fourth proportional to 185.13, 253.97 and 180.33 is: 247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 253.97 = 180.33 : x
  2. Step 2: Convert to fraction form
    185.13/253.97 = 180.33/x
  3. Step 3: Cross multiply
    185.13x = 253.97 × 180.33
  4. Step 4: Simplify right side
    185.13x = 45,797.51
  5. Step 5: Solve for x
    x = 45,797.51/185.13
  6. Step 6: Final answer
    x = 247.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.