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Finding the Fourth Proportional to 254.15, 380.91 and 138.34

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Solution

The fourth proportional to 254.15, 380.91 and 138.34 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.15 : 380.91 = 138.34 : x
  2. Step 2: Convert to fraction form
    254.15/380.91 = 138.34/x
  3. Step 3: Cross multiply
    254.15x = 380.91 × 138.34
  4. Step 4: Simplify right side
    254.15x = 52,696.08
  5. Step 5: Solve for x
    x = 52,696.08/254.15
  6. Step 6: Final answer
    x = 207.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.