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Finding the Fourth Proportional to 185.49, 277.76 and 180.02

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Solution

The fourth proportional to 185.49, 277.76 and 180.02 is: 269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 277.76 = 180.02 : x
  2. Step 2: Convert to fraction form
    185.49/277.76 = 180.02/x
  3. Step 3: Cross multiply
    185.49x = 277.76 × 180.02
  4. Step 4: Simplify right side
    185.49x = 50,000.07
  5. Step 5: Solve for x
    x = 50,000.07/185.49
  6. Step 6: Final answer
    x = 269.56

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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.