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Finding the Fourth Proportional to 203.18, 304.63 and 134.66

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Solution

The fourth proportional to 203.18, 304.63 and 134.66 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.18 : 304.63 = 134.66 : x
  2. Step 2: Convert to fraction form
    203.18/304.63 = 134.66/x
  3. Step 3: Cross multiply
    203.18x = 304.63 × 134.66
  4. Step 4: Simplify right side
    203.18x = 41,021.90
  5. Step 5: Solve for x
    x = 41,021.90/203.18
  6. Step 6: Final answer
    x = 201.90

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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.