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Finding the Fourth Proportional to 203.54, 305.16 and 142.49

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Solution

The fourth proportional to 203.54, 305.16 and 142.49 is: 213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.54 : 305.16 = 142.49 : x
  2. Step 2: Convert to fraction form
    203.54/305.16 = 142.49/x
  3. Step 3: Cross multiply
    203.54x = 305.16 × 142.49
  4. Step 4: Simplify right side
    203.54x = 43,482.25
  5. Step 5: Solve for x
    x = 43,482.25/203.54
  6. Step 6: Final answer
    x = 213.63

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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.