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Finding the Fourth Proportional to 258.47, 356.69 and 142.03

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Solution

The fourth proportional to 258.47, 356.69 and 142.03 is: 196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.47 : 356.69 = 142.03 : x
  2. Step 2: Convert to fraction form
    258.47/356.69 = 142.03/x
  3. Step 3: Cross multiply
    258.47x = 356.69 × 142.03
  4. Step 4: Simplify right side
    258.47x = 50,661.48
  5. Step 5: Solve for x
    x = 50,661.48/258.47
  6. Step 6: Final answer
    x = 196.01

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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.