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Finding the Fourth Proportional to 146.34, 203.00 and 142.20

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Solution

The fourth proportional to 146.34, 203.00 and 142.20 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.34 : 203.00 = 142.20 : x
  2. Step 2: Convert to fraction form
    146.34/203.00 = 142.20/x
  3. Step 3: Cross multiply
    146.34x = 203.00 × 142.20
  4. Step 4: Simplify right side
    146.34x = 28,865.89
  5. Step 5: Solve for x
    x = 28,865.89/146.34
  6. Step 6: Final answer
    x = 197.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.