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Finding the Fourth Proportional to 322.02, 482.93 and 126.97

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Solution

The fourth proportional to 322.02, 482.93 and 126.97 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 482.93 = 126.97 : x
  2. Step 2: Convert to fraction form
    322.02/482.93 = 126.97/x
  3. Step 3: Cross multiply
    322.02x = 482.93 × 126.97
  4. Step 4: Simplify right side
    322.02x = 61,317.62
  5. Step 5: Solve for x
    x = 61,317.62/322.02
  6. Step 6: Final answer
    x = 190.42

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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.