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Finding the Fourth Proportional to 292.46, 403.64 and 180.44

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Solution

The fourth proportional to 292.46, 403.64 and 180.44 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.46 : 403.64 = 180.44 : x
  2. Step 2: Convert to fraction form
    292.46/403.64 = 180.44/x
  3. Step 3: Cross multiply
    292.46x = 403.64 × 180.44
  4. Step 4: Simplify right side
    292.46x = 72,832.80
  5. Step 5: Solve for x
    x = 72,832.80/292.46
  6. Step 6: Final answer
    x = 249.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.