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Finding the Fourth Proportional to 186.68, 279.69 and 167.84

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Solution

The fourth proportional to 186.68, 279.69 and 167.84 is: 251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 279.69 = 167.84 : x
  2. Step 2: Convert to fraction form
    186.68/279.69 = 167.84/x
  3. Step 3: Cross multiply
    186.68x = 279.69 × 167.84
  4. Step 4: Simplify right side
    186.68x = 46,943.17
  5. Step 5: Solve for x
    x = 46,943.17/186.68
  6. Step 6: Final answer
    x = 251.46

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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.