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Finding the Fourth Proportional to 203.14, 304.08 and 134.50

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Solution

The fourth proportional to 203.14, 304.08 and 134.50 is: 201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.14 : 304.08 = 134.50 : x
  2. Step 2: Convert to fraction form
    203.14/304.08 = 134.50/x
  3. Step 3: Cross multiply
    203.14x = 304.08 × 134.50
  4. Step 4: Simplify right side
    203.14x = 40,898.76
  5. Step 5: Solve for x
    x = 40,898.76/203.14
  6. Step 6: Final answer
    x = 201.33

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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.