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Finding the Fourth Proportional to 186.08, 256.69 and 108.41

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Solution

The fourth proportional to 186.08, 256.69 and 108.41 is: 149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.08 : 256.69 = 108.41 : x
  2. Step 2: Convert to fraction form
    186.08/256.69 = 108.41/x
  3. Step 3: Cross multiply
    186.08x = 256.69 × 108.41
  4. Step 4: Simplify right side
    186.08x = 27,827.76
  5. Step 5: Solve for x
    x = 27,827.76/186.08
  6. Step 6: Final answer
    x = 149.55

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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.