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Finding the Fourth Proportional to 186.64, 280.02 and 78.44

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Solution

The fourth proportional to 186.64, 280.02 and 78.44 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 280.02 = 78.44 : x
  2. Step 2: Convert to fraction form
    186.64/280.02 = 78.44/x
  3. Step 3: Cross multiply
    186.64x = 280.02 × 78.44
  4. Step 4: Simplify right side
    186.64x = 21,964.77
  5. Step 5: Solve for x
    x = 21,964.77/186.64
  6. Step 6: Final answer
    x = 117.69

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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.