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Finding the Fourth Proportional to 186.56, 280.34 and 113.43

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Solution

The fourth proportional to 186.56, 280.34 and 113.43 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 280.34 = 113.43 : x
  2. Step 2: Convert to fraction form
    186.56/280.34 = 113.43/x
  3. Step 3: Cross multiply
    186.56x = 280.34 × 113.43
  4. Step 4: Simplify right side
    186.56x = 31,798.40
  5. Step 5: Solve for x
    x = 31,798.40/186.56
  6. Step 6: Final answer
    x = 170.45

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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.