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Finding the Fourth Proportional to 188.48, 280.67 and 179.15

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Solution

The fourth proportional to 188.48, 280.67 and 179.15 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 280.67 = 179.15 : x
  2. Step 2: Convert to fraction form
    188.48/280.67 = 179.15/x
  3. Step 3: Cross multiply
    188.48x = 280.67 × 179.15
  4. Step 4: Simplify right side
    188.48x = 50,282.03
  5. Step 5: Solve for x
    x = 50,282.03/188.48
  6. Step 6: Final answer
    x = 266.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.