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Finding the Fourth Proportional to 186.66, 280 and 78.42

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Solution

The fourth proportional to 186.66, 280 and 78.42 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 280 = 78.42 : x
  2. Step 2: Convert to fraction form
    186.66/280 = 78.42/x
  3. Step 3: Cross multiply
    186.66x = 280 × 78.42
  4. Step 4: Simplify right side
    186.66x = 21,957.60
  5. Step 5: Solve for x
    x = 21,957.60/186.66
  6. Step 6: Final answer
    x = 117.63

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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.