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Finding the Fourth Proportional to 254.67, 381.33 and 189.24

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Solution

The fourth proportional to 254.67, 381.33 and 189.24 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.67 : 381.33 = 189.24 : x
  2. Step 2: Convert to fraction form
    254.67/381.33 = 189.24/x
  3. Step 3: Cross multiply
    254.67x = 381.33 × 189.24
  4. Step 4: Simplify right side
    254.67x = 72,162.89
  5. Step 5: Solve for x
    x = 72,162.89/254.67
  6. Step 6: Final answer
    x = 283.36

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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.