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Finding the Fourth Proportional to 452, 678 and 178.04

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Solution

The fourth proportional to 452, 678 and 178.04 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 678 = 178.04 : x
  2. Step 2: Convert to fraction form
    452/678 = 178.04/x
  3. Step 3: Cross multiply
    452x = 678 × 178.04
  4. Step 4: Simplify right side
    452x = 120,711.12
  5. Step 5: Solve for x
    x = 120,711.12/452
  6. Step 6: Final answer
    x = 267.06

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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.