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Finding the Fourth Proportional to 292.08, 403.26 and 181.60

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Solution

The fourth proportional to 292.08, 403.26 and 181.60 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 403.26 = 181.60 : x
  2. Step 2: Convert to fraction form
    292.08/403.26 = 181.60/x
  3. Step 3: Cross multiply
    292.08x = 403.26 × 181.60
  4. Step 4: Simplify right side
    292.08x = 73,232.02
  5. Step 5: Solve for x
    x = 73,232.02/292.08
  6. Step 6: Final answer
    x = 250.73

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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.