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Finding the Fourth Proportional to 451.47, 677.21 and 177.42

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Solution

The fourth proportional to 451.47, 677.21 and 177.42 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.47 : 677.21 = 177.42 : x
  2. Step 2: Convert to fraction form
    451.47/677.21 = 177.42/x
  3. Step 3: Cross multiply
    451.47x = 677.21 × 177.42
  4. Step 4: Simplify right side
    451.47x = 120,148.50
  5. Step 5: Solve for x
    x = 120,148.50/451.47
  6. Step 6: Final answer
    x = 266.12

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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.