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Finding the Fourth Proportional to 322.93, 484.35 and 106.48

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Solution

The fourth proportional to 322.93, 484.35 and 106.48 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.93 : 484.35 = 106.48 : x
  2. Step 2: Convert to fraction form
    322.93/484.35 = 106.48/x
  3. Step 3: Cross multiply
    322.93x = 484.35 × 106.48
  4. Step 4: Simplify right side
    322.93x = 51,573.59
  5. Step 5: Solve for x
    x = 51,573.59/322.93
  6. Step 6: Final answer
    x = 159.71

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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.