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Finding the Fourth Proportional to 203.40, 305.40 and 142.80

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Solution

The fourth proportional to 203.40, 305.40 and 142.80 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 305.40 = 142.80 : x
  2. Step 2: Convert to fraction form
    203.40/305.40 = 142.80/x
  3. Step 3: Cross multiply
    203.40x = 305.40 × 142.80
  4. Step 4: Simplify right side
    203.40x = 43,611.12
  5. Step 5: Solve for x
    x = 43,611.12/203.40
  6. Step 6: Final answer
    x = 214.41

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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.