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Finding the Fourth Proportional to 186.75, 257.78 and 109.11

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Solution

The fourth proportional to 186.75, 257.78 and 109.11 is: 150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 257.78 = 109.11 : x
  2. Step 2: Convert to fraction form
    186.75/257.78 = 109.11/x
  3. Step 3: Cross multiply
    186.75x = 257.78 × 109.11
  4. Step 4: Simplify right side
    186.75x = 28,125.83
  5. Step 5: Solve for x
    x = 28,125.83/186.75
  6. Step 6: Final answer
    x = 150.61

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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.