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Finding the Fourth Proportional to 185.81, 278.24 and 180.14

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Solution

The fourth proportional to 185.81, 278.24 and 180.14 is: 269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.81 : 278.24 = 180.14 : x
  2. Step 2: Convert to fraction form
    185.81/278.24 = 180.14/x
  3. Step 3: Cross multiply
    185.81x = 278.24 × 180.14
  4. Step 4: Simplify right side
    185.81x = 50,119.86
  5. Step 5: Solve for x
    x = 50,119.86/185.81
  6. Step 6: Final answer
    x = 269.74

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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.