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Finding the Fourth Proportional to 254.21, 381.33 and 138.60

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Solution

The fourth proportional to 254.21, 381.33 and 138.60 is: 207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.21 : 381.33 = 138.60 : x
  2. Step 2: Convert to fraction form
    254.21/381.33 = 138.60/x
  3. Step 3: Cross multiply
    254.21x = 381.33 × 138.60
  4. Step 4: Simplify right side
    254.21x = 52,852.34
  5. Step 5: Solve for x
    x = 52,852.34/254.21
  6. Step 6: Final answer
    x = 207.91

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