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Finding the Fourth Proportional to 258.45, 356.67 and 142.02

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Solution

The fourth proportional to 258.45, 356.67 and 142.02 is: 195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.45 : 356.67 = 142.02 : x
  2. Step 2: Convert to fraction form
    258.45/356.67 = 142.02/x
  3. Step 3: Cross multiply
    258.45x = 356.67 × 142.02
  4. Step 4: Simplify right side
    258.45x = 50,654.27
  5. Step 5: Solve for x
    x = 50,654.27/258.45
  6. Step 6: Final answer
    x = 195.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.