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Finding the Fourth Proportional to 451.53, 677.16 and 177.56

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Solution

The fourth proportional to 451.53, 677.16 and 177.56 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.53 : 677.16 = 177.56 : x
  2. Step 2: Convert to fraction form
    451.53/677.16 = 177.56/x
  3. Step 3: Cross multiply
    451.53x = 677.16 × 177.56
  4. Step 4: Simplify right side
    451.53x = 120,233.14
  5. Step 5: Solve for x
    x = 120,233.14/451.53
  6. Step 6: Final answer
    x = 266.28

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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.