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Finding the Fourth Proportional to 322.23, 483.18 and 206.65

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Solution

The fourth proportional to 322.23, 483.18 and 206.65 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.23 : 483.18 = 206.65 : x
  2. Step 2: Convert to fraction form
    322.23/483.18 = 206.65/x
  3. Step 3: Cross multiply
    322.23x = 483.18 × 206.65
  4. Step 4: Simplify right side
    322.23x = 99,849.15
  5. Step 5: Solve for x
    x = 99,849.15/322.23
  6. Step 6: Final answer
    x = 309.87

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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.