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Finding the Fourth Proportional to 203.80, 280.92 and 160.08

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Solution

The fourth proportional to 203.80, 280.92 and 160.08 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.80 : 280.92 = 160.08 : x
  2. Step 2: Convert to fraction form
    203.80/280.92 = 160.08/x
  3. Step 3: Cross multiply
    203.80x = 280.92 × 160.08
  4. Step 4: Simplify right side
    203.80x = 44,969.67
  5. Step 5: Solve for x
    x = 44,969.67/203.80
  6. Step 6: Final answer
    x = 220.66

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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.