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Finding the Fourth Proportional to 218.70, 328.06 and 206.02

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Solution

The fourth proportional to 218.70, 328.06 and 206.02 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 328.06 = 206.02 : x
  2. Step 2: Convert to fraction form
    218.70/328.06 = 206.02/x
  3. Step 3: Cross multiply
    218.70x = 328.06 × 206.02
  4. Step 4: Simplify right side
    218.70x = 67,586.92
  5. Step 5: Solve for x
    x = 67,586.92/218.70
  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.