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Finding the Fourth Proportional to 206.01, 309.02 and 160.23

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Solution

The fourth proportional to 206.01, 309.02 and 160.23 is: 240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 309.02 = 160.23 : x
  2. Step 2: Convert to fraction form
    206.01/309.02 = 160.23/x
  3. Step 3: Cross multiply
    206.01x = 309.02 × 160.23
  4. Step 4: Simplify right side
    206.01x = 49,512.89
  5. Step 5: Solve for x
    x = 49,512.89/206.01
  6. Step 6: Final answer
    x = 240.34

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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.