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Finding the Fourth Proportional to 258.14, 354.28 and 254.18

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Solution

The fourth proportional to 258.14, 354.28 and 254.18 is: 348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 354.28 = 254.18 : x
  2. Step 2: Convert to fraction form
    258.14/354.28 = 254.18/x
  3. Step 3: Cross multiply
    258.14x = 354.28 × 254.18
  4. Step 4: Simplify right side
    258.14x = 90,050.89
  5. Step 5: Solve for x
    x = 90,050.89/258.14
  6. Step 6: Final answer
    x = 348.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.