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Finding the Fourth Proportional to 322.94, 484.49 and 149.46

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Solution

The fourth proportional to 322.94, 484.49 and 149.46 is: 224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 484.49 = 149.46 : x
  2. Step 2: Convert to fraction form
    322.94/484.49 = 149.46/x
  3. Step 3: Cross multiply
    322.94x = 484.49 × 149.46
  4. Step 4: Simplify right side
    322.94x = 72,411.13
  5. Step 5: Solve for x
    x = 72,411.13/322.94
  6. Step 6: Final answer
    x = 224.23

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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.