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Finding the Fourth Proportional to 186.57, 279.90 and 78.39

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Solution

The fourth proportional to 186.57, 279.90 and 78.39 is: 117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.57 : 279.90 = 78.39 : x
  2. Step 2: Convert to fraction form
    186.57/279.90 = 78.39/x
  3. Step 3: Cross multiply
    186.57x = 279.90 × 78.39
  4. Step 4: Simplify right side
    186.57x = 21,941.36
  5. Step 5: Solve for x
    x = 21,941.36/186.57
  6. Step 6: Final answer
    x = 117.60

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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.