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Finding the Fourth Proportional to 207.36, 309.42 and 205.20

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Solution

The fourth proportional to 207.36, 309.42 and 205.20 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 309.42 = 205.20 : x
  2. Step 2: Convert to fraction form
    207.36/309.42 = 205.20/x
  3. Step 3: Cross multiply
    207.36x = 309.42 × 205.20
  4. Step 4: Simplify right side
    207.36x = 63,492.98
  5. Step 5: Solve for x
    x = 63,492.98/207.36
  6. Step 6: Final answer
    x = 306.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.