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Finding the Fourth Proportional to 186.17, 279.26 and 164.91

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Solution

The fourth proportional to 186.17, 279.26 and 164.91 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 279.26 = 164.91 : x
  2. Step 2: Convert to fraction form
    186.17/279.26 = 164.91/x
  3. Step 3: Cross multiply
    186.17x = 279.26 × 164.91
  4. Step 4: Simplify right side
    186.17x = 46,051.94
  5. Step 5: Solve for x
    x = 46,051.94/186.17
  6. Step 6: Final answer
    x = 247.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.