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Finding the Fourth Proportional to 292.31, 403.26 and 181.76

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Solution

The fourth proportional to 292.31, 403.26 and 181.76 is: 250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.31 : 403.26 = 181.76 : x
  2. Step 2: Convert to fraction form
    292.31/403.26 = 181.76/x
  3. Step 3: Cross multiply
    292.31x = 403.26 × 181.76
  4. Step 4: Simplify right side
    292.31x = 73,296.54
  5. Step 5: Solve for x
    x = 73,296.54/292.31
  6. Step 6: Final answer
    x = 250.75

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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.