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Finding the Fourth Proportional to 203.48, 280.78 and 120.57

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Solution

The fourth proportional to 203.48, 280.78 and 120.57 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.48 : 280.78 = 120.57 : x
  2. Step 2: Convert to fraction form
    203.48/280.78 = 120.57/x
  3. Step 3: Cross multiply
    203.48x = 280.78 × 120.57
  4. Step 4: Simplify right side
    203.48x = 33,853.34
  5. Step 5: Solve for x
    x = 33,853.34/203.48
  6. Step 6: Final answer
    x = 166.37

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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.