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Finding the Fourth Proportional to 291.82, 402.47 and 181.08

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Solution

The fourth proportional to 291.82, 402.47 and 181.08 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.82 : 402.47 = 181.08 : x
  2. Step 2: Convert to fraction form
    291.82/402.47 = 181.08/x
  3. Step 3: Cross multiply
    291.82x = 402.47 × 181.08
  4. Step 4: Simplify right side
    291.82x = 72,878.81
  5. Step 5: Solve for x
    x = 72,878.81/291.82
  6. Step 6: Final answer
    x = 249.74

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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.