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Finding the Fourth Proportional to 452.30, 678.26 and 178.24

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Solution

The fourth proportional to 452.30, 678.26 and 178.24 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 678.26 = 178.24 : x
  2. Step 2: Convert to fraction form
    452.30/678.26 = 178.24/x
  3. Step 3: Cross multiply
    452.30x = 678.26 × 178.24
  4. Step 4: Simplify right side
    452.30x = 120,893.06
  5. Step 5: Solve for x
    x = 120,893.06/452.30
  6. Step 6: Final answer
    x = 267.29

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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.