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Finding the Fourth Proportional to 185.49, 253.94 and 180.63

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Solution

The fourth proportional to 185.49, 253.94 and 180.63 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 253.94 = 180.63 : x
  2. Step 2: Convert to fraction form
    185.49/253.94 = 180.63/x
  3. Step 3: Cross multiply
    185.49x = 253.94 × 180.63
  4. Step 4: Simplify right side
    185.49x = 45,868.28
  5. Step 5: Solve for x
    x = 45,868.28/185.49
  6. Step 6: Final answer
    x = 247.28

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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.