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Finding the Fourth Proportional to 270.12, 402.61 and 254.74

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Solution

The fourth proportional to 270.12, 402.61 and 254.74 is: 379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.12 : 402.61 = 254.74 : x
  2. Step 2: Convert to fraction form
    270.12/402.61 = 254.74/x
  3. Step 3: Cross multiply
    270.12x = 402.61 × 254.74
  4. Step 4: Simplify right side
    270.12x = 102,559.60
  5. Step 5: Solve for x
    x = 102,559.60/270.12
  6. Step 6: Final answer
    x = 379.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.