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Finding the Fourth Proportional to 206.53, 309.63 and 109.01

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Solution

The fourth proportional to 206.53, 309.63 and 109.01 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.53 : 309.63 = 109.01 : x
  2. Step 2: Convert to fraction form
    206.53/309.63 = 109.01/x
  3. Step 3: Cross multiply
    206.53x = 309.63 × 109.01
  4. Step 4: Simplify right side
    206.53x = 33,752.77
  5. Step 5: Solve for x
    x = 33,752.77/206.53
  6. Step 6: Final answer
    x = 163.43

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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.