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Finding the Fourth Proportional to 186.93, 278.87 and 166.43

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Solution

The fourth proportional to 186.93, 278.87 and 166.43 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 278.87 = 166.43 : x
  2. Step 2: Convert to fraction form
    186.93/278.87 = 166.43/x
  3. Step 3: Cross multiply
    186.93x = 278.87 × 166.43
  4. Step 4: Simplify right side
    186.93x = 46,412.20
  5. Step 5: Solve for x
    x = 46,412.20/186.93
  6. Step 6: Final answer
    x = 248.29

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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.