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Finding the Fourth Proportional to 203.02, 280.23 and 120.14

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Solution

The fourth proportional to 203.02, 280.23 and 120.14 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.02 : 280.23 = 120.14 : x
  2. Step 2: Convert to fraction form
    203.02/280.23 = 120.14/x
  3. Step 3: Cross multiply
    203.02x = 280.23 × 120.14
  4. Step 4: Simplify right side
    203.02x = 33,666.83
  5. Step 5: Solve for x
    x = 33,666.83/203.02
  6. Step 6: Final answer
    x = 165.83

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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.