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Finding the Fourth Proportional to 275.06, 412.59 and 166.88

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Solution

The fourth proportional to 275.06, 412.59 and 166.88 is: 250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 412.59 = 166.88 : x
  2. Step 2: Convert to fraction form
    275.06/412.59 = 166.88/x
  3. Step 3: Cross multiply
    275.06x = 412.59 × 166.88
  4. Step 4: Simplify right side
    275.06x = 68,853.02
  5. Step 5: Solve for x
    x = 68,853.02/275.06
  6. Step 6: Final answer
    x = 250.32

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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.