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Finding the Fourth Proportional to 186.15, 279.22 and 64.42

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Solution

The fourth proportional to 186.15, 279.22 and 64.42 is: 96.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.15 : 279.22 = 64.42 : x
  2. Step 2: Convert to fraction form
    186.15/279.22 = 64.42/x
  3. Step 3: Cross multiply
    186.15x = 279.22 × 64.42
  4. Step 4: Simplify right side
    186.15x = 17,987.58
  5. Step 5: Solve for x
    x = 17,987.58/186.15
  6. Step 6: Final answer
    x = 96.63

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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.