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Finding the Fourth Proportional to 186.22, 279.36 and 88.64

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Solution

The fourth proportional to 186.22, 279.36 and 88.64 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 279.36 = 88.64 : x
  2. Step 2: Convert to fraction form
    186.22/279.36 = 88.64/x
  3. Step 3: Cross multiply
    186.22x = 279.36 × 88.64
  4. Step 4: Simplify right side
    186.22x = 24,761.07
  5. Step 5: Solve for x
    x = 24,761.07/186.22
  6. Step 6: Final answer
    x = 132.97

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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.