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Finding the Fourth Proportional to 451.79, 677.67 and 177.87

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Solution

The fourth proportional to 451.79, 677.67 and 177.87 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.79 : 677.67 = 177.87 : x
  2. Step 2: Convert to fraction form
    451.79/677.67 = 177.87/x
  3. Step 3: Cross multiply
    451.79x = 677.67 × 177.87
  4. Step 4: Simplify right side
    451.79x = 120,537.16
  5. Step 5: Solve for x
    x = 120,537.16/451.79
  6. Step 6: Final answer
    x = 266.80

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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.