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Finding the Fourth Proportional to 186.55, 279.73 and 78.33

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Solution

The fourth proportional to 186.55, 279.73 and 78.33 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.55 : 279.73 = 78.33 : x
  2. Step 2: Convert to fraction form
    186.55/279.73 = 78.33/x
  3. Step 3: Cross multiply
    186.55x = 279.73 × 78.33
  4. Step 4: Simplify right side
    186.55x = 21,911.25
  5. Step 5: Solve for x
    x = 21,911.25/186.55
  6. Step 6: Final answer
    x = 117.46

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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.