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Finding the Fourth Proportional to 254.56, 382.00 and 100.46

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Solution

The fourth proportional to 254.56, 382.00 and 100.46 is: 150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 382.00 = 100.46 : x
  2. Step 2: Convert to fraction form
    254.56/382.00 = 100.46/x
  3. Step 3: Cross multiply
    254.56x = 382.00 × 100.46
  4. Step 4: Simplify right side
    254.56x = 38,376.80
  5. Step 5: Solve for x
    x = 38,376.80/254.56
  6. Step 6: Final answer
    x = 150.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.