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Finding the Fourth Proportional to 185.42, 276.38 and 180.29

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Solution

The fourth proportional to 185.42, 276.38 and 180.29 is: 268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 276.38 = 180.29 : x
  2. Step 2: Convert to fraction form
    185.42/276.38 = 180.29/x
  3. Step 3: Cross multiply
    185.42x = 276.38 × 180.29
  4. Step 4: Simplify right side
    185.42x = 49,829.02
  5. Step 5: Solve for x
    x = 49,829.02/185.42
  6. Step 6: Final answer
    x = 268.73

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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.