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Finding the Fourth Proportional to 186.84, 258.09 and 155.86

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Solution

The fourth proportional to 186.84, 258.09 and 155.86 is: 215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 258.09 = 155.86 : x
  2. Step 2: Convert to fraction form
    186.84/258.09 = 155.86/x
  3. Step 3: Cross multiply
    186.84x = 258.09 × 155.86
  4. Step 4: Simplify right side
    186.84x = 40,224.68
  5. Step 5: Solve for x
    x = 40,224.68/186.84
  6. Step 6: Final answer
    x = 215.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.