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Finding the Fourth Proportional to 203.76, 280.96 and 154.06

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Solution

The fourth proportional to 203.76, 280.96 and 154.06 is: 212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.76 : 280.96 = 154.06 : x
  2. Step 2: Convert to fraction form
    203.76/280.96 = 154.06/x
  3. Step 3: Cross multiply
    203.76x = 280.96 × 154.06
  4. Step 4: Simplify right side
    203.76x = 43,284.70
  5. Step 5: Solve for x
    x = 43,284.70/203.76
  6. Step 6: Final answer
    x = 212.43

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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.