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Finding the Fourth Proportional to 452.04, 678.17 and 178.05

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Solution

The fourth proportional to 452.04, 678.17 and 178.05 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.04 : 678.17 = 178.05 : x
  2. Step 2: Convert to fraction form
    452.04/678.17 = 178.05/x
  3. Step 3: Cross multiply
    452.04x = 678.17 × 178.05
  4. Step 4: Simplify right side
    452.04x = 120,748.17
  5. Step 5: Solve for x
    x = 120,748.17/452.04
  6. Step 6: Final answer
    x = 267.12

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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.