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Finding the Fourth Proportional to 206.40, 309.06 and 109.74

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Solution

The fourth proportional to 206.40, 309.06 and 109.74 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 309.06 = 109.74 : x
  2. Step 2: Convert to fraction form
    206.40/309.06 = 109.74/x
  3. Step 3: Cross multiply
    206.40x = 309.06 × 109.74
  4. Step 4: Simplify right side
    206.40x = 33,916.24
  5. Step 5: Solve for x
    x = 33,916.24/206.40
  6. Step 6: Final answer
    x = 164.32

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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.