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Finding the Fourth Proportional to 451.91, 677.46 and 178.19

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Solution

The fourth proportional to 451.91, 677.46 and 178.19 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.91 : 677.46 = 178.19 : x
  2. Step 2: Convert to fraction form
    451.91/677.46 = 178.19/x
  3. Step 3: Cross multiply
    451.91x = 677.46 × 178.19
  4. Step 4: Simplify right side
    451.91x = 120,715.71
  5. Step 5: Solve for x
    x = 120,715.71/451.91
  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.