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Finding the Fourth Proportional to 203.20, 304.32 and 188.80

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Solution

The fourth proportional to 203.20, 304.32 and 188.80 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.20 : 304.32 = 188.80 : x
  2. Step 2: Convert to fraction form
    203.20/304.32 = 188.80/x
  3. Step 3: Cross multiply
    203.20x = 304.32 × 188.80
  4. Step 4: Simplify right side
    203.20x = 57,455.62
  5. Step 5: Solve for x
    x = 57,455.62/203.20
  6. Step 6: Final answer
    x = 282.75

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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.