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Finding the Fourth Proportional to 320.86, 442.83 and 189.91

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Solution

The fourth proportional to 320.86, 442.83 and 189.91 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.86 : 442.83 = 189.91 : x
  2. Step 2: Convert to fraction form
    320.86/442.83 = 189.91/x
  3. Step 3: Cross multiply
    320.86x = 442.83 × 189.91
  4. Step 4: Simplify right side
    320.86x = 84,097.85
  5. Step 5: Solve for x
    x = 84,097.85/320.86
  6. Step 6: Final answer
    x = 262.10

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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.