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Finding the Fourth Proportional to 322.14, 482.76 and 166.02

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Solution

The fourth proportional to 322.14, 482.76 and 166.02 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 482.76 = 166.02 : x
  2. Step 2: Convert to fraction form
    322.14/482.76 = 166.02/x
  3. Step 3: Cross multiply
    322.14x = 482.76 × 166.02
  4. Step 4: Simplify right side
    322.14x = 80,147.82
  5. Step 5: Solve for x
    x = 80,147.82/322.14
  6. Step 6: Final answer
    x = 248.80

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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.