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Finding the Fourth Proportional to 258.74, 357.04 and 203.61

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Solution

The fourth proportional to 258.74, 357.04 and 203.61 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 357.04 = 203.61 : x
  2. Step 2: Convert to fraction form
    258.74/357.04 = 203.61/x
  3. Step 3: Cross multiply
    258.74x = 357.04 × 203.61
  4. Step 4: Simplify right side
    258.74x = 72,696.50
  5. Step 5: Solve for x
    x = 72,696.50/258.74
  6. Step 6: Final answer
    x = 280.96

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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.