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Finding the Fourth Proportional to 186.76, 280.08 and 109.76

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Solution

The fourth proportional to 186.76, 280.08 and 109.76 is: 164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 280.08 = 109.76 : x
  2. Step 2: Convert to fraction form
    186.76/280.08 = 109.76/x
  3. Step 3: Cross multiply
    186.76x = 280.08 × 109.76
  4. Step 4: Simplify right side
    186.76x = 30,741.58
  5. Step 5: Solve for x
    x = 30,741.58/186.76
  6. Step 6: Final answer
    x = 164.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.