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Finding the Fourth Proportional to 186.39, 280.23 and 159.03

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Solution

The fourth proportional to 186.39, 280.23 and 159.03 is: 239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 280.23 = 159.03 : x
  2. Step 2: Convert to fraction form
    186.39/280.23 = 159.03/x
  3. Step 3: Cross multiply
    186.39x = 280.23 × 159.03
  4. Step 4: Simplify right side
    186.39x = 44,564.98
  5. Step 5: Solve for x
    x = 44,564.98/186.39
  6. Step 6: Final answer
    x = 239.10

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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.