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Finding the Fourth Proportional to 186.56, 280.44 and 146.46

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Solution

The fourth proportional to 186.56, 280.44 and 146.46 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 280.44 = 146.46 : x
  2. Step 2: Convert to fraction form
    186.56/280.44 = 146.46/x
  3. Step 3: Cross multiply
    186.56x = 280.44 × 146.46
  4. Step 4: Simplify right side
    186.56x = 41,073.24
  5. Step 5: Solve for x
    x = 41,073.24/186.56
  6. Step 6: Final answer
    x = 220.17

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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.