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Finding the Fourth Proportional to 258.78, 357.13 and 142.35

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Solution

The fourth proportional to 258.78, 357.13 and 142.35 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 357.13 = 142.35 : x
  2. Step 2: Convert to fraction form
    258.78/357.13 = 142.35/x
  3. Step 3: Cross multiply
    258.78x = 357.13 × 142.35
  4. Step 4: Simplify right side
    258.78x = 50,837.46
  5. Step 5: Solve for x
    x = 50,837.46/258.78
  6. Step 6: Final answer
    x = 196.45

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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.