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Finding the Fourth Proportional to 188.12, 280.86 and 177.20

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Solution

The fourth proportional to 188.12, 280.86 and 177.20 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 280.86 = 177.20 : x
  2. Step 2: Convert to fraction form
    188.12/280.86 = 177.20/x
  3. Step 3: Cross multiply
    188.12x = 280.86 × 177.20
  4. Step 4: Simplify right side
    188.12x = 49,768.39
  5. Step 5: Solve for x
    x = 49,768.39/188.12
  6. Step 6: Final answer
    x = 264.56

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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.