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Finding the Fourth Proportional to 451.46, 677.02 and 177.40

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Solution

The fourth proportional to 451.46, 677.02 and 177.40 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.46 : 677.02 = 177.40 : x
  2. Step 2: Convert to fraction form
    451.46/677.02 = 177.40/x
  3. Step 3: Cross multiply
    451.46x = 677.02 × 177.40
  4. Step 4: Simplify right side
    451.46x = 120,101.68
  5. Step 5: Solve for x
    x = 120,101.68/451.46
  6. Step 6: Final answer
    x = 266.03

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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.