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Finding the Fourth Proportional to 451.45, 677.16 and 177.34

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Solution

The fourth proportional to 451.45, 677.16 and 177.34 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.45 : 677.16 = 177.34 : x
  2. Step 2: Convert to fraction form
    451.45/677.16 = 177.34/x
  3. Step 3: Cross multiply
    451.45x = 677.16 × 177.34
  4. Step 4: Simplify right side
    451.45x = 120,087.55
  5. Step 5: Solve for x
    x = 120,087.55/451.45
  6. Step 6: Final answer
    x = 266.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.