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Finding the Fourth Proportional to 452.28, 678.14 and 178.14

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Solution

The fourth proportional to 452.28, 678.14 and 178.14 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.28 : 678.14 = 178.14 : x
  2. Step 2: Convert to fraction form
    452.28/678.14 = 178.14/x
  3. Step 3: Cross multiply
    452.28x = 678.14 × 178.14
  4. Step 4: Simplify right side
    452.28x = 120,803.86
  5. Step 5: Solve for x
    x = 120,803.86/452.28
  6. Step 6: Final answer
    x = 267.10

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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.