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Finding the Fourth Proportional to 203.50, 280.86 and 120.58

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Solution

The fourth proportional to 203.50, 280.86 and 120.58 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 280.86 = 120.58 : x
  2. Step 2: Convert to fraction form
    203.50/280.86 = 120.58/x
  3. Step 3: Cross multiply
    203.50x = 280.86 × 120.58
  4. Step 4: Simplify right side
    203.50x = 33,866.10
  5. Step 5: Solve for x
    x = 33,866.10/203.50
  6. Step 6: Final answer
    x = 166.42

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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.