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Finding the Fourth Proportional to 254.75, 381.80 and 146.21

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Solution

The fourth proportional to 254.75, 381.80 and 146.21 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 381.80 = 146.21 : x
  2. Step 2: Convert to fraction form
    254.75/381.80 = 146.21/x
  3. Step 3: Cross multiply
    254.75x = 381.80 × 146.21
  4. Step 4: Simplify right side
    254.75x = 55,820.34
  5. Step 5: Solve for x
    x = 55,820.34/254.75
  6. Step 6: Final answer
    x = 219.12

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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.