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Finding the Fourth Proportional to 322.94, 484.50 and 106.52

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Solution

The fourth proportional to 322.94, 484.50 and 106.52 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 484.50 = 106.52 : x
  2. Step 2: Convert to fraction form
    322.94/484.50 = 106.52/x
  3. Step 3: Cross multiply
    322.94x = 484.50 × 106.52
  4. Step 4: Simplify right side
    322.94x = 51,608.94
  5. Step 5: Solve for x
    x = 51,608.94/322.94
  6. Step 6: Final answer
    x = 159.81

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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.