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Finding the Fourth Proportional to 186.45, 257.33 and 107.77

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Solution

The fourth proportional to 186.45, 257.33 and 107.77 is: 148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.45 : 257.33 = 107.77 : x
  2. Step 2: Convert to fraction form
    186.45/257.33 = 107.77/x
  3. Step 3: Cross multiply
    186.45x = 257.33 × 107.77
  4. Step 4: Simplify right side
    186.45x = 27,732.08
  5. Step 5: Solve for x
    x = 27,732.08/186.45
  6. Step 6: Final answer
    x = 148.74

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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.