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Finding the Fourth Proportional to 186.46, 257.32 and 102.44

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Solution

The fourth proportional to 186.46, 257.32 and 102.44 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 257.32 = 102.44 : x
  2. Step 2: Convert to fraction form
    186.46/257.32 = 102.44/x
  3. Step 3: Cross multiply
    186.46x = 257.32 × 102.44
  4. Step 4: Simplify right side
    186.46x = 26,358.96
  5. Step 5: Solve for x
    x = 26,358.96/186.46
  6. Step 6: Final answer
    x = 141.37

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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.