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Finding the Fourth Proportional to 186.14, 256.76 and 149.48

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Solution

The fourth proportional to 186.14, 256.76 and 149.48 is: 206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 256.76 = 149.48 : x
  2. Step 2: Convert to fraction form
    186.14/256.76 = 149.48/x
  3. Step 3: Cross multiply
    186.14x = 256.76 × 149.48
  4. Step 4: Simplify right side
    186.14x = 38,380.48
  5. Step 5: Solve for x
    x = 38,380.48/186.14
  6. Step 6: Final answer
    x = 206.19

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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.