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Finding the Fourth Proportional to 186.64, 279.84 and 165.02

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Solution

The fourth proportional to 186.64, 279.84 and 165.02 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 279.84 = 165.02 : x
  2. Step 2: Convert to fraction form
    186.64/279.84 = 165.02/x
  3. Step 3: Cross multiply
    186.64x = 279.84 × 165.02
  4. Step 4: Simplify right side
    186.64x = 46,179.20
  5. Step 5: Solve for x
    x = 46,179.20/186.64
  6. Step 6: Final answer
    x = 247.42

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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.