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Finding the Fourth Proportional to 254.34, 381.63 and 138.75

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Solution

The fourth proportional to 254.34, 381.63 and 138.75 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 381.63 = 138.75 : x
  2. Step 2: Convert to fraction form
    254.34/381.63 = 138.75/x
  3. Step 3: Cross multiply
    254.34x = 381.63 × 138.75
  4. Step 4: Simplify right side
    254.34x = 52,951.16
  5. Step 5: Solve for x
    x = 52,951.16/254.34
  6. Step 6: Final answer
    x = 208.19

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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.