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Finding the Fourth Proportional to 203.29, 305.04 and 142.30

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Solution

The fourth proportional to 203.29, 305.04 and 142.30 is: 213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.29 : 305.04 = 142.30 : x
  2. Step 2: Convert to fraction form
    203.29/305.04 = 142.30/x
  3. Step 3: Cross multiply
    203.29x = 305.04 × 142.30
  4. Step 4: Simplify right side
    203.29x = 43,407.19
  5. Step 5: Solve for x
    x = 43,407.19/203.29
  6. Step 6: Final answer
    x = 213.52

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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.