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Finding the Fourth Proportional to 203.00, 303.84 and 134.24

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Solution

The fourth proportional to 203.00, 303.84 and 134.24 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.00 : 303.84 = 134.24 : x
  2. Step 2: Convert to fraction form
    203.00/303.84 = 134.24/x
  3. Step 3: Cross multiply
    203.00x = 303.84 × 134.24
  4. Step 4: Simplify right side
    203.00x = 40,785.96
  5. Step 5: Solve for x
    x = 40,785.96/203.00
  6. Step 6: Final answer
    x = 200.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.