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Finding the Fourth Proportional to 186.85, 257.79 and 109.18

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Solution

The fourth proportional to 186.85, 257.79 and 109.18 is: 150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.85 : 257.79 = 109.18 : x
  2. Step 2: Convert to fraction form
    186.85/257.79 = 109.18/x
  3. Step 3: Cross multiply
    186.85x = 257.79 × 109.18
  4. Step 4: Simplify right side
    186.85x = 28,145.51
  5. Step 5: Solve for x
    x = 28,145.51/186.85
  6. Step 6: Final answer
    x = 150.63

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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.