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Finding the Fourth Proportional to 451.68, 677.28 and 177.76

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Solution

The fourth proportional to 451.68, 677.28 and 177.76 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 677.28 = 177.76 : x
  2. Step 2: Convert to fraction form
    451.68/677.28 = 177.76/x
  3. Step 3: Cross multiply
    451.68x = 677.28 × 177.76
  4. Step 4: Simplify right side
    451.68x = 120,393.29
  5. Step 5: Solve for x
    x = 120,393.29/451.68
  6. Step 6: Final answer
    x = 266.55

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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.