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Finding the Fourth Proportional to 186.14, 280.50 and 154.35

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Solution

The fourth proportional to 186.14, 280.50 and 154.35 is: 232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 280.50 = 154.35 : x
  2. Step 2: Convert to fraction form
    186.14/280.50 = 154.35/x
  3. Step 3: Cross multiply
    186.14x = 280.50 × 154.35
  4. Step 4: Simplify right side
    186.14x = 43,295.18
  5. Step 5: Solve for x
    x = 43,295.18/186.14
  6. Step 6: Final answer
    x = 232.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.