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Finding the Fourth Proportional to 206.03, 309 and 172.01

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Solution

The fourth proportional to 206.03, 309 and 172.01 is: 257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.03 : 309 = 172.01 : x
  2. Step 2: Convert to fraction form
    206.03/309 = 172.01/x
  3. Step 3: Cross multiply
    206.03x = 309 × 172.01
  4. Step 4: Simplify right side
    206.03x = 53,151.09
  5. Step 5: Solve for x
    x = 53,151.09/206.03
  6. Step 6: Final answer
    x = 257.98

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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.