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Finding the Fourth Proportional to 292.56, 403.48 and 181.92

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Solution

The fourth proportional to 292.56, 403.48 and 181.92 is: 250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 403.48 = 181.92 : x
  2. Step 2: Convert to fraction form
    292.56/403.48 = 181.92/x
  3. Step 3: Cross multiply
    292.56x = 403.48 × 181.92
  4. Step 4: Simplify right side
    292.56x = 73,401.08
  5. Step 5: Solve for x
    x = 73,401.08/292.56
  6. Step 6: Final answer
    x = 250.89

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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.