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Finding the Fourth Proportional to 258.97, 357.42 and 148.45

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Solution

The fourth proportional to 258.97, 357.42 and 148.45 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.97 : 357.42 = 148.45 : x
  2. Step 2: Convert to fraction form
    258.97/357.42 = 148.45/x
  3. Step 3: Cross multiply
    258.97x = 357.42 × 148.45
  4. Step 4: Simplify right side
    258.97x = 53,059.00
  5. Step 5: Solve for x
    x = 53,059.00/258.97
  6. Step 6: Final answer
    x = 204.88

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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.