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Finding the Fourth Proportional to 320.94, 442.93 and 181.08

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Solution

The fourth proportional to 320.94, 442.93 and 181.08 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 442.93 = 181.08 : x
  2. Step 2: Convert to fraction form
    320.94/442.93 = 181.08/x
  3. Step 3: Cross multiply
    320.94x = 442.93 × 181.08
  4. Step 4: Simplify right side
    320.94x = 80,205.76
  5. Step 5: Solve for x
    x = 80,205.76/320.94
  6. Step 6: Final answer
    x = 249.91

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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.