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Finding the Fourth Proportional to 206.49, 309.74 and 62.21

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Solution

The fourth proportional to 206.49, 309.74 and 62.21 is: 93.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 309.74 = 62.21 : x
  2. Step 2: Convert to fraction form
    206.49/309.74 = 62.21/x
  3. Step 3: Cross multiply
    206.49x = 309.74 × 62.21
  4. Step 4: Simplify right side
    206.49x = 19,268.93
  5. Step 5: Solve for x
    x = 19,268.93/206.49
  6. Step 6: Final answer
    x = 93.32

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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.