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Finding the Fourth Proportional to 208.20, 314.16 and 200.16

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Solution

The fourth proportional to 208.20, 314.16 and 200.16 is: 302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 314.16 = 200.16 : x
  2. Step 2: Convert to fraction form
    208.20/314.16 = 200.16/x
  3. Step 3: Cross multiply
    208.20x = 314.16 × 200.16
  4. Step 4: Simplify right side
    208.20x = 62,882.27
  5. Step 5: Solve for x
    x = 62,882.27/208.20
  6. Step 6: Final answer
    x = 302.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.