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Finding the Fourth Proportional to 452.00, 678.14 and 178.19

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Solution

The fourth proportional to 452.00, 678.14 and 178.19 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.00 : 678.14 = 178.19 : x
  2. Step 2: Convert to fraction form
    452.00/678.14 = 178.19/x
  3. Step 3: Cross multiply
    452.00x = 678.14 × 178.19
  4. Step 4: Simplify right side
    452.00x = 120,833.48
  5. Step 5: Solve for x
    x = 120,833.48/452.00
  6. Step 6: Final answer
    x = 267.33

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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.