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Finding the Fourth Proportional to 203.40, 305.09 and 95.13

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Solution

The fourth proportional to 203.40, 305.09 and 95.13 is: 142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 305.09 = 95.13 : x
  2. Step 2: Convert to fraction form
    203.40/305.09 = 95.13/x
  3. Step 3: Cross multiply
    203.40x = 305.09 × 95.13
  4. Step 4: Simplify right side
    203.40x = 29,023.21
  5. Step 5: Solve for x
    x = 29,023.21/203.40
  6. Step 6: Final answer
    x = 142.69

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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.