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Finding the Fourth Proportional to 203.43, 280.76 and 120.53

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Solution

The fourth proportional to 203.43, 280.76 and 120.53 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 280.76 = 120.53 : x
  2. Step 2: Convert to fraction form
    203.43/280.76 = 120.53/x
  3. Step 3: Cross multiply
    203.43x = 280.76 × 120.53
  4. Step 4: Simplify right side
    203.43x = 33,838.00
  5. Step 5: Solve for x
    x = 33,838.00/203.43
  6. Step 6: Final answer
    x = 166.34

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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.