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Finding the Fourth Proportional to 203.09, 303.15 and 188.06

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Solution

The fourth proportional to 203.09, 303.15 and 188.06 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.09 : 303.15 = 188.06 : x
  2. Step 2: Convert to fraction form
    203.09/303.15 = 188.06/x
  3. Step 3: Cross multiply
    203.09x = 303.15 × 188.06
  4. Step 4: Simplify right side
    203.09x = 57,010.39
  5. Step 5: Solve for x
    x = 57,010.39/203.09
  6. Step 6: Final answer
    x = 280.71

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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.