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Finding the Fourth Proportional to 322.63, 484.00 and 106.16

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Solution

The fourth proportional to 322.63, 484.00 and 106.16 is: 159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.63 : 484.00 = 106.16 : x
  2. Step 2: Convert to fraction form
    322.63/484.00 = 106.16/x
  3. Step 3: Cross multiply
    322.63x = 484.00 × 106.16
  4. Step 4: Simplify right side
    322.63x = 51,380.91
  5. Step 5: Solve for x
    x = 51,380.91/322.63
  6. Step 6: Final answer
    x = 159.26

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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.