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Finding the Fourth Proportional to 258.78, 357.15 and 148.26

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Solution

The fourth proportional to 258.78, 357.15 and 148.26 is: 204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 357.15 = 148.26 : x
  2. Step 2: Convert to fraction form
    258.78/357.15 = 148.26/x
  3. Step 3: Cross multiply
    258.78x = 357.15 × 148.26
  4. Step 4: Simplify right side
    258.78x = 52,951.06
  5. Step 5: Solve for x
    x = 52,951.06/258.78
  6. Step 6: Final answer
    x = 204.62

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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.