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Finding the Fourth Proportional to 254.91, 382.55 and 98.88

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Solution

The fourth proportional to 254.91, 382.55 and 98.88 is: 148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.91 : 382.55 = 98.88 : x
  2. Step 2: Convert to fraction form
    254.91/382.55 = 98.88/x
  3. Step 3: Cross multiply
    254.91x = 382.55 × 98.88
  4. Step 4: Simplify right side
    254.91x = 37,826.05
  5. Step 5: Solve for x
    x = 37,826.05/254.91
  6. Step 6: Final answer
    x = 148.39

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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.