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Finding the Fourth Proportional to 186.24, 280.64 and 166.60

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Solution

The fourth proportional to 186.24, 280.64 and 166.60 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 280.64 = 166.60 : x
  2. Step 2: Convert to fraction form
    186.24/280.64 = 166.60/x
  3. Step 3: Cross multiply
    186.24x = 280.64 × 166.60
  4. Step 4: Simplify right side
    186.24x = 46,754.62
  5. Step 5: Solve for x
    x = 46,754.62/186.24
  6. Step 6: Final answer
    x = 251.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.