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Finding the Fourth Proportional to 186.50, 280.02 and 178.82

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Solution

The fourth proportional to 186.50, 280.02 and 178.82 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 280.02 = 178.82 : x
  2. Step 2: Convert to fraction form
    186.50/280.02 = 178.82/x
  3. Step 3: Cross multiply
    186.50x = 280.02 × 178.82
  4. Step 4: Simplify right side
    186.50x = 50,073.18
  5. Step 5: Solve for x
    x = 50,073.18/186.50
  6. Step 6: Final answer
    x = 268.49

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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.