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Finding the Fourth Proportional to 186.81, 280.23 and 78.54

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Solution

The fourth proportional to 186.81, 280.23 and 78.54 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.81 : 280.23 = 78.54 : x
  2. Step 2: Convert to fraction form
    186.81/280.23 = 78.54/x
  3. Step 3: Cross multiply
    186.81x = 280.23 × 78.54
  4. Step 4: Simplify right side
    186.81x = 22,009.26
  5. Step 5: Solve for x
    x = 22,009.26/186.81
  6. Step 6: Final answer
    x = 117.82

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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.