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Finding the Fourth Proportional to 254.75, 381.95 and 152.04

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Solution

The fourth proportional to 254.75, 381.95 and 152.04 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 381.95 = 152.04 : x
  2. Step 2: Convert to fraction form
    254.75/381.95 = 152.04/x
  3. Step 3: Cross multiply
    254.75x = 381.95 × 152.04
  4. Step 4: Simplify right side
    254.75x = 58,072.92
  5. Step 5: Solve for x
    x = 58,072.92/254.75
  6. Step 6: Final answer
    x = 227.96

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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.