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Finding the Fourth Proportional to 186.67, 278.24 and 180.82

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Solution

The fourth proportional to 186.67, 278.24 and 180.82 is: 269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.67 : 278.24 = 180.82 : x
  2. Step 2: Convert to fraction form
    186.67/278.24 = 180.82/x
  3. Step 3: Cross multiply
    186.67x = 278.24 × 180.82
  4. Step 4: Simplify right side
    186.67x = 50,311.36
  5. Step 5: Solve for x
    x = 50,311.36/186.67
  6. Step 6: Final answer
    x = 269.52

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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.