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Finding the Fourth Proportional to 307.20, 460.80 and 178.88

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Solution

The fourth proportional to 307.20, 460.80 and 178.88 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 460.80 = 178.88 : x
  2. Step 2: Convert to fraction form
    307.20/460.80 = 178.88/x
  3. Step 3: Cross multiply
    307.20x = 460.80 × 178.88
  4. Step 4: Simplify right side
    307.20x = 82,427.90
  5. Step 5: Solve for x
    x = 82,427.90/307.20
  6. Step 6: Final answer
    x = 268.32

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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.