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Finding the Fourth Proportional to 258.86, 357.26 and 148.34

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Solution

The fourth proportional to 258.86, 357.26 and 148.34 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 357.26 = 148.34 : x
  2. Step 2: Convert to fraction form
    258.86/357.26 = 148.34/x
  3. Step 3: Cross multiply
    258.86x = 357.26 × 148.34
  4. Step 4: Simplify right side
    258.86x = 52,995.95
  5. Step 5: Solve for x
    x = 52,995.95/258.86
  6. Step 6: Final answer
    x = 204.73

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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.