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Finding the Fourth Proportional to 320.96, 442.93 and 181.10

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Solution

The fourth proportional to 320.96, 442.93 and 181.10 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 442.93 = 181.10 : x
  2. Step 2: Convert to fraction form
    320.96/442.93 = 181.10/x
  3. Step 3: Cross multiply
    320.96x = 442.93 × 181.10
  4. Step 4: Simplify right side
    320.96x = 80,214.62
  5. Step 5: Solve for x
    x = 80,214.62/320.96
  6. Step 6: Final answer
    x = 249.92

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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.