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Finding the Fourth Proportional to 258.76, 357.30 and 201.16

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Solution

The fourth proportional to 258.76, 357.30 and 201.16 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.76 : 357.30 = 201.16 : x
  2. Step 2: Convert to fraction form
    258.76/357.30 = 201.16/x
  3. Step 3: Cross multiply
    258.76x = 357.30 × 201.16
  4. Step 4: Simplify right side
    258.76x = 71,874.47
  5. Step 5: Solve for x
    x = 71,874.47/258.76
  6. Step 6: Final answer
    x = 277.76

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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.