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Finding the Fourth Proportional to 292.27, 403.10 and 181.68

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Solution

The fourth proportional to 292.27, 403.10 and 181.68 is: 250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.27 : 403.10 = 181.68 : x
  2. Step 2: Convert to fraction form
    292.27/403.10 = 181.68/x
  3. Step 3: Cross multiply
    292.27x = 403.10 × 181.68
  4. Step 4: Simplify right side
    292.27x = 73,235.21
  5. Step 5: Solve for x
    x = 73,235.21/292.27
  6. Step 6: Final answer
    x = 250.57

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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.