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Finding the Fourth Proportional to 258.46, 357.36 and 226.06

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Solution

The fourth proportional to 258.46, 357.36 and 226.06 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.46 : 357.36 = 226.06 : x
  2. Step 2: Convert to fraction form
    258.46/357.36 = 226.06/x
  3. Step 3: Cross multiply
    258.46x = 357.36 × 226.06
  4. Step 4: Simplify right side
    258.46x = 80,784.80
  5. Step 5: Solve for x
    x = 80,784.80/258.46
  6. Step 6: Final answer
    x = 312.56

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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.