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Finding the Fourth Proportional to 451.46, 677.04 and 177.47

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Solution

The fourth proportional to 451.46, 677.04 and 177.47 is: 266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.46 : 677.04 = 177.47 : x
  2. Step 2: Convert to fraction form
    451.46/677.04 = 177.47/x
  3. Step 3: Cross multiply
    451.46x = 677.04 × 177.47
  4. Step 4: Simplify right side
    451.46x = 120,154.29
  5. Step 5: Solve for x
    x = 120,154.29/451.46
  6. Step 6: Final answer
    x = 266.15

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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.