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Finding the Fourth Proportional to 186.86, 257.84 and 109.24

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Solution

The fourth proportional to 186.86, 257.84 and 109.24 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 257.84 = 109.24 : x
  2. Step 2: Convert to fraction form
    186.86/257.84 = 109.24/x
  3. Step 3: Cross multiply
    186.86x = 257.84 × 109.24
  4. Step 4: Simplify right side
    186.86x = 28,166.44
  5. Step 5: Solve for x
    x = 28,166.44/186.86
  6. Step 6: Final answer
    x = 150.74

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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.