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Finding the Fourth Proportional to 250.80, 376.20 and 178.52

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Solution

The fourth proportional to 250.80, 376.20 and 178.52 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.80 : 376.20 = 178.52 : x
  2. Step 2: Convert to fraction form
    250.80/376.20 = 178.52/x
  3. Step 3: Cross multiply
    250.80x = 376.20 × 178.52
  4. Step 4: Simplify right side
    250.80x = 67,159.22
  5. Step 5: Solve for x
    x = 67,159.22/250.80
  6. Step 6: Final answer
    x = 267.78

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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.