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Finding the Fourth Proportional to 291.72, 402.32 and 181.08

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Solution

The fourth proportional to 291.72, 402.32 and 181.08 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.72 : 402.32 = 181.08 : x
  2. Step 2: Convert to fraction form
    291.72/402.32 = 181.08/x
  3. Step 3: Cross multiply
    291.72x = 402.32 × 181.08
  4. Step 4: Simplify right side
    291.72x = 72,852.11
  5. Step 5: Solve for x
    x = 72,852.11/291.72
  6. Step 6: Final answer
    x = 249.73

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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.