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Finding the Fourth Proportional to 321.90, 482.51 and 206.17

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Solution

The fourth proportional to 321.90, 482.51 and 206.17 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.90 : 482.51 = 206.17 : x
  2. Step 2: Convert to fraction form
    321.90/482.51 = 206.17/x
  3. Step 3: Cross multiply
    321.90x = 482.51 × 206.17
  4. Step 4: Simplify right side
    321.90x = 99,478.59
  5. Step 5: Solve for x
    x = 99,478.59/321.90
  6. Step 6: Final answer
    x = 309.04

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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.