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Finding the Fourth Proportional to 366.25, 549.63 and 160.88

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Solution

The fourth proportional to 366.25, 549.63 and 160.88 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.25 : 549.63 = 160.88 : x
  2. Step 2: Convert to fraction form
    366.25/549.63 = 160.88/x
  3. Step 3: Cross multiply
    366.25x = 549.63 × 160.88
  4. Step 4: Simplify right side
    366.25x = 88,422.90
  5. Step 5: Solve for x
    x = 88,422.90/366.25
  6. Step 6: Final answer
    x = 241.43

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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.