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Finding the Fourth Proportional to 254.69, 381.44 and 176.33

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Solution

The fourth proportional to 254.69, 381.44 and 176.33 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.69 : 381.44 = 176.33 : x
  2. Step 2: Convert to fraction form
    254.69/381.44 = 176.33/x
  3. Step 3: Cross multiply
    254.69x = 381.44 × 176.33
  4. Step 4: Simplify right side
    254.69x = 67,258.56
  5. Step 5: Solve for x
    x = 67,258.56/254.69
  6. Step 6: Final answer
    x = 264.08

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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.