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Finding the Fourth Proportional to 451.56, 677.28 and 177.64

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Solution

The fourth proportional to 451.56, 677.28 and 177.64 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.56 : 677.28 = 177.64 : x
  2. Step 2: Convert to fraction form
    451.56/677.28 = 177.64/x
  3. Step 3: Cross multiply
    451.56x = 677.28 × 177.64
  4. Step 4: Simplify right side
    451.56x = 120,312.02
  5. Step 5: Solve for x
    x = 120,312.02/451.56
  6. Step 6: Final answer
    x = 266.44

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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.