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Finding the Fourth Proportional to 206.09, 309.02 and 145.34

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Solution

The fourth proportional to 206.09, 309.02 and 145.34 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 309.02 = 145.34 : x
  2. Step 2: Convert to fraction form
    206.09/309.02 = 145.34/x
  3. Step 3: Cross multiply
    206.09x = 309.02 × 145.34
  4. Step 4: Simplify right side
    206.09x = 44,911.79
  5. Step 5: Solve for x
    x = 44,911.79/206.09
  6. Step 6: Final answer
    x = 217.93

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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.