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Finding the Fourth Proportional to 451.60, 677.23 and 177.64

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Solution

The fourth proportional to 451.60, 677.23 and 177.64 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.60 : 677.23 = 177.64 : x
  2. Step 2: Convert to fraction form
    451.60/677.23 = 177.64/x
  3. Step 3: Cross multiply
    451.60x = 677.23 × 177.64
  4. Step 4: Simplify right side
    451.60x = 120,301.00
  5. Step 5: Solve for x
    x = 120,301.00/451.60
  6. Step 6: Final answer
    x = 266.39

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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.