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Finding the Fourth Proportional to 186.80, 257.68 and 109.12

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Solution

The fourth proportional to 186.80, 257.68 and 109.12 is: 150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 257.68 = 109.12 : x
  2. Step 2: Convert to fraction form
    186.80/257.68 = 109.12/x
  3. Step 3: Cross multiply
    186.80x = 257.68 × 109.12
  4. Step 4: Simplify right side
    186.80x = 28,118.04
  5. Step 5: Solve for x
    x = 28,118.04/186.80
  6. Step 6: Final answer
    x = 150.52

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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.