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Finding the Fourth Proportional to 452.18, 678.38 and 178.20

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Solution

The fourth proportional to 452.18, 678.38 and 178.20 is: 267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.18 : 678.38 = 178.20 : x
  2. Step 2: Convert to fraction form
    452.18/678.38 = 178.20/x
  3. Step 3: Cross multiply
    452.18x = 678.38 × 178.20
  4. Step 4: Simplify right side
    452.18x = 120,886.43
  5. Step 5: Solve for x
    x = 120,886.43/452.18
  6. Step 6: Final answer
    x = 267.34

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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.