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Finding the Fourth Proportional to 188.24, 280.88 and 166.92

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Solution

The fourth proportional to 188.24, 280.88 and 166.92 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 280.88 = 166.92 : x
  2. Step 2: Convert to fraction form
    188.24/280.88 = 166.92/x
  3. Step 3: Cross multiply
    188.24x = 280.88 × 166.92
  4. Step 4: Simplify right side
    188.24x = 46,884.49
  5. Step 5: Solve for x
    x = 46,884.49/188.24
  6. Step 6: Final answer
    x = 249.07

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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.