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Finding the Fourth Proportional to 203.75, 305.49 and 95.48

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Solution

The fourth proportional to 203.75, 305.49 and 95.48 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.75 : 305.49 = 95.48 : x
  2. Step 2: Convert to fraction form
    203.75/305.49 = 95.48/x
  3. Step 3: Cross multiply
    203.75x = 305.49 × 95.48
  4. Step 4: Simplify right side
    203.75x = 29,168.19
  5. Step 5: Solve for x
    x = 29,168.19/203.75
  6. Step 6: Final answer
    x = 143.16

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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.