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Finding the Fourth Proportional to 322.56, 483.70 and 149.20

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Solution

The fourth proportional to 322.56, 483.70 and 149.20 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 483.70 = 149.20 : x
  2. Step 2: Convert to fraction form
    322.56/483.70 = 149.20/x
  3. Step 3: Cross multiply
    322.56x = 483.70 × 149.20
  4. Step 4: Simplify right side
    322.56x = 72,168.04
  5. Step 5: Solve for x
    x = 72,168.04/322.56
  6. Step 6: Final answer
    x = 223.74

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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.