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Finding the Fourth Proportional to 186.75, 257.72 and 109.17

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Solution

The fourth proportional to 186.75, 257.72 and 109.17 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 257.72 = 109.17 : x
  2. Step 2: Convert to fraction form
    186.75/257.72 = 109.17/x
  3. Step 3: Cross multiply
    186.75x = 257.72 × 109.17
  4. Step 4: Simplify right side
    186.75x = 28,134.75
  5. Step 5: Solve for x
    x = 28,134.75/186.75
  6. Step 6: Final answer
    x = 150.65

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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.