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Finding the Fourth Proportional to 186.10, 256.75 and 107.37

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Solution

The fourth proportional to 186.10, 256.75 and 107.37 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 256.75 = 107.37 : x
  2. Step 2: Convert to fraction form
    186.10/256.75 = 107.37/x
  3. Step 3: Cross multiply
    186.10x = 256.75 × 107.37
  4. Step 4: Simplify right side
    186.10x = 27,566.98
  5. Step 5: Solve for x
    x = 27,566.98/186.10
  6. Step 6: Final answer
    x = 148.13

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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.