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Finding the Fourth Proportional to 275.28, 412.98 and 177.78

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Solution

The fourth proportional to 275.28, 412.98 and 177.78 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.28 : 412.98 = 177.78 : x
  2. Step 2: Convert to fraction form
    275.28/412.98 = 177.78/x
  3. Step 3: Cross multiply
    275.28x = 412.98 × 177.78
  4. Step 4: Simplify right side
    275.28x = 73,419.58
  5. Step 5: Solve for x
    x = 73,419.58/275.28
  6. Step 6: Final answer
    x = 266.71

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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.