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Finding the Fourth Proportional to 185.41, 276.76 and 180.28

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Solution

The fourth proportional to 185.41, 276.76 and 180.28 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.41 : 276.76 = 180.28 : x
  2. Step 2: Convert to fraction form
    185.41/276.76 = 180.28/x
  3. Step 3: Cross multiply
    185.41x = 276.76 × 180.28
  4. Step 4: Simplify right side
    185.41x = 49,894.29
  5. Step 5: Solve for x
    x = 49,894.29/185.41
  6. Step 6: Final answer
    x = 269.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.