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Finding the Fourth Proportional to 275.32, 412.14 and 166.76

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Solution

The fourth proportional to 275.32, 412.14 and 166.76 is: 249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.32 : 412.14 = 166.76 : x
  2. Step 2: Convert to fraction form
    275.32/412.14 = 166.76/x
  3. Step 3: Cross multiply
    275.32x = 412.14 × 166.76
  4. Step 4: Simplify right side
    275.32x = 68,728.47
  5. Step 5: Solve for x
    x = 68,728.47/275.32
  6. Step 6: Final answer
    x = 249.63

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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.