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Finding the Fourth Proportional to 662.16, 993.08 and 206.16

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Solution

The fourth proportional to 662.16, 993.08 and 206.16 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 993.08 = 206.16 : x
  2. Step 2: Convert to fraction form
    662.16/993.08 = 206.16/x
  3. Step 3: Cross multiply
    662.16x = 993.08 × 206.16
  4. Step 4: Simplify right side
    662.16x = 204,733.37
  5. Step 5: Solve for x
    x = 204,733.37/662.16
  6. Step 6: Final answer
    x = 309.19

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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.