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Finding the Fourth Proportional to 254.77, 382.34 and 117.97

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Solution

The fourth proportional to 254.77, 382.34 and 117.97 is: 177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.77 : 382.34 = 117.97 : x
  2. Step 2: Convert to fraction form
    254.77/382.34 = 117.97/x
  3. Step 3: Cross multiply
    254.77x = 382.34 × 117.97
  4. Step 4: Simplify right side
    254.77x = 45,104.65
  5. Step 5: Solve for x
    x = 45,104.65/254.77
  6. Step 6: Final answer
    x = 177.04

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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.