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Finding the Fourth Proportional to 203.76, 280.80 and 145.44

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Solution

The fourth proportional to 203.76, 280.80 and 145.44 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.76 : 280.80 = 145.44 : x
  2. Step 2: Convert to fraction form
    203.76/280.80 = 145.44/x
  3. Step 3: Cross multiply
    203.76x = 280.80 × 145.44
  4. Step 4: Simplify right side
    203.76x = 40,839.55
  5. Step 5: Solve for x
    x = 40,839.55/203.76
  6. Step 6: Final answer
    x = 200.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.