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Finding the Fourth Proportional to 322.69, 484.68 and 192.94

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Solution

The fourth proportional to 322.69, 484.68 and 192.94 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.69 : 484.68 = 192.94 : x
  2. Step 2: Convert to fraction form
    322.69/484.68 = 192.94/x
  3. Step 3: Cross multiply
    322.69x = 484.68 × 192.94
  4. Step 4: Simplify right side
    322.69x = 93,514.16
  5. Step 5: Solve for x
    x = 93,514.16/322.69
  6. Step 6: Final answer
    x = 289.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.