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Finding the Fourth Proportional to 186.14, 256.88 and 107.46

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Solution

The fourth proportional to 186.14, 256.88 and 107.46 is: 148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 256.88 = 107.46 : x
  2. Step 2: Convert to fraction form
    186.14/256.88 = 107.46/x
  3. Step 3: Cross multiply
    186.14x = 256.88 × 107.46
  4. Step 4: Simplify right side
    186.14x = 27,604.32
  5. Step 5: Solve for x
    x = 27,604.32/186.14
  6. Step 6: Final answer
    x = 148.30

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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.